75932700480 has 2688 divisors, whose sum is σ = 385540300800. Its totient is φ = 13663862784.

The previous prime is 75932700451. The next prime is 75932700491. The reversal of 75932700480 is 8400723957.

75932700480 is a `hidden beast` number, since 75 + 9 + 32 + 70 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3301421749 + ... + 3301421771.

Almost surely, 2^75932700480 is an apocalyptic number.

75932700480 is a gapful number since it is divisible by the number (70) 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 75932700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192770150400).

75932700480 is an abundant number, since it is smaller than the sum of its proper divisors (309607600320).

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

75932700480 is a wasteful number, since it uses less digits than its factorization.

75932700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 75932700480 in words is "seventy-five billion, nine hundred thirty-two million, seven hundred thousand, four hundred eighty".