75674376960 has 432 divisors, whose sum is σ = 302780058336. Its totient is φ = 15965945856.

The previous prime is 75674376959. The next prime is 75674377003. The reversal of 75674376960 is 6967347657.

It is a happy number.

It is a super-2 number, since 2×75674376960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 75674376894 and 75674376903.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2430612 + ... + 2461548.

Almost surely, 2^75674376960 is an apocalyptic number.

75674376960 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 75674376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151390029168).

75674376960 is an abundant number, since it is smaller than the sum of its proper divisors (227105681376).

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

75674376960 is a wasteful number, since it uses less digits than its factorization.

75674376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30988 (or 30967 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 60.

The spelling of 75674376960 in words is "seventy-five billion, six hundred seventy-four million, three hundred seventy-six thousand, nine hundred sixty".