76966357976040 has 512 divisors, whose sum is σ = 264252911569920. Its totient is φ = 17765824462848.

The previous prime is 76966357975973. The next prime is 76966357976041. The reversal of 76966357976040 is 4067975366967.

It is a super-2 number, since 2×76966357976040² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76966357976041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21243817669 + ... + 21243821291.

It is an arithmetic number, because the mean of its divisors is an integer number (516118967910).

Almost surely, 2^{76966357976040} 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 76966357976040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132126455784960).

76966357976040 is an abundant number, since it is smaller than the sum of its proper divisors (187286553593880).

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

76966357976040 is a wasteful number, since it uses less digits than its factorization.

76966357976040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6381 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 2160406080, while the sum is 75.

The spelling of 76966357976040 in words is "seventy-six trillion, nine hundred sixty-six billion, three hundred fifty-seven million, nine hundred seventy-six thousand, forty".