75947409408 has 256 divisors, whose sum is σ = 221606864640. Its totient is φ = 22993698816.

The previous prime is 75947409359. The next prime is 75947409437. The reversal of 75947409408 is 80490474957.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85622341 + ... + 85623227.

It is an arithmetic number, because the mean of its divisors is an integer number (865651815).

Almost surely, 2^75947409408 is an apocalyptic number.

75947409408 is a gapful number since it is divisible by the number (78) 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 75947409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110803432320).

75947409408 is an abundant number, since it is smaller than the sum of its proper divisors (145659455232).

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

75947409408 is an equidigital number, since it uses as much as digits as its factorization.

75947409408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 75947409408 in words is "seventy-five billion, nine hundred forty-seven million, four hundred nine thousand, four hundred eight".