76400033448960 has 528 divisors, whose sum is σ = 294004126414080. Its totient is φ = 18806156328960.

The previous prime is 76400033448917. The next prime is 76400033449039. The reversal of 76400033448960 is 6984433000467.

76400033448960 is a `hidden beast` number, since 76 + 4 + 0 + 0 + 0 + 3 + 34 + 489 + 60 = 666.

It is a super-2 number, since 2×76400033448960² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 76400033448897 and 76400033448906.

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, 21727465 + ... + 24997655.

Almost surely, 2^{76400033448960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76400033448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147002063207040).

76400033448960 is an abundant number, since it is smaller than the sum of its proper divisors (217604092965120).

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

76400033448960 is a wasteful number, since it uses less digits than its factorization.

76400033448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270251 (or 3270214 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 76400033448960 in words is "seventy-six trillion, four hundred billion, thirty-three million, four hundred forty-eight thousand, nine hundred sixty".