75487464 has 192 divisors, whose sum is σ = 238492800. Its totient is φ = 22208256.

The previous prime is 75487457. The next prime is 75487469. The reversal of 75487464 is 46478457.

75487464 = T₃₉ + T₄₀ + ... + T₇₆₇.

It is not an unprimeable number, because it can be changed into a prime (75487469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732837 + ... + 732939.

It is an arithmetic number, because the mean of its divisors is an integer number (1242150).

Almost surely, 2^75487464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75487464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119246400).

75487464 is an abundant number, since it is smaller than the sum of its proper divisors (163005336).

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

75487464 is a wasteful number, since it uses less digits than its factorization.

75487464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 75487464 is about 8688.3522028058. The cubic root of 75487464 is about 422.6280115821.

The spelling of 75487464 in words is "seventy-five million, four hundred eighty-seven thousand, four hundred sixty-four".