75468920436 has 288 divisors, whose sum is σ = 249121832960. Its totient is φ = 18705883392.

The previous prime is 75468920357. The next prime is 75468920467. The reversal of 75468920436 is 63402986457.

75468920436 is a `hidden beast` number, since 7 + 546 + 8 + 92 + 0 + 4 + 3 + 6 = 666.

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, 7900215 + ... + 7909761.

Almost surely, 2^75468920436 is an apocalyptic number.

75468920436 is a gapful number since it is divisible by the number (76) 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 75468920436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124560916480).

75468920436 is an abundant number, since it is smaller than the sum of its proper divisors (173652912524).

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

75468920436 is a wasteful number, since it uses less digits than its factorization.

75468920436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9723 (or 9718 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 75468920436 in words is "seventy-five billion, four hundred sixty-eight million, nine hundred twenty thousand, four hundred thirty-six".