75491468640 has 576 divisors, whose sum is σ = 308399809536. Its totient is φ = 17081321472.

The previous prime is 75491468627. The next prime is 75491468671. The reversal of 75491468640 is 4686419457.

75491468640 is a `hidden beast` number, since 7 + 54 + 91 + 468 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28031134 + ... + 28033826.

It is an arithmetic number, because the mean of its divisors is an integer number (535416336).

Almost surely, 2^75491468640 is an apocalyptic number.

75491468640 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 75491468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154199904768).

75491468640 is an abundant number, since it is smaller than the sum of its proper divisors (232908340896).

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

75491468640 is a wasteful number, since it uses less digits than its factorization.

75491468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 75491468640 in words is "seventy-five billion, four hundred ninety-one million, four hundred sixty-eight thousand, six hundred forty".