4761132480 has 896 divisors, whose sum is σ = 20072908800. Its totient is φ = 1051066368.

The previous prime is 4761132433. The next prime is 4761132487. The reversal of 4761132480 is 842311674.

4761132480 is a `hidden beast` number, since 4 + 7 + 611 + 32 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×4761132480² = 45336764984221900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4761132487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49083792 + ... + 49083888.

It is an arithmetic number, because the mean of its divisors is an integer number (22402800).

Almost surely, 2^4761132480 is an apocalyptic number.

4761132480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036454400).

4761132480 is an abundant number, since it is smaller than the sum of its proper divisors (15311776320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4761132480 is a wasteful number, since it uses less digits than its factorization.

4761132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4761132480 is about 69000.9599933218. The cubic root of 4761132480 is about 1682.2999112213.

The spelling of 4761132480 in words is "four billion, seven hundred sixty-one million, one hundred thirty-two thousand, four hundred eighty".