5465750400 has 768 divisors, whose sum is σ = 22402137600. Its totient is φ = 1306368000.

The previous prime is 5465750377. The next prime is 5465750401. The reversal of 5465750400 is 40575645.

It is a happy number.

5465750400 is a `hidden beast` number, since 5 + 46 + 575 + 0 + 40 + 0 = 666.

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 (5465750401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76982365 + ... + 76982435.

It is an arithmetic number, because the mean of its divisors is an integer number (29169450).

Almost surely, 2^5465750400 is an apocalyptic number.

5465750400 is a gapful number since it is divisible by the number (50) 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 5465750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201068800).

5465750400 is an abundant number, since it is smaller than the sum of its proper divisors (16936387200).

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

5465750400 is an equidigital number, since it uses as much as digits as its factorization.

5465750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 5465750400 is about 73930.7135093393. The cubic root of 5465750400 is about 1761.5025048315.

The spelling of 5465750400 in words is "five billion, four hundred sixty-five million, seven hundred fifty thousand, four hundred".