77131067597640 has 480 divisors, whose sum is σ = 317444202187200. Its totient is φ = 16702065112320.

The previous prime is 77131067597561. The next prime is 77131067597641. The reversal of 77131067597640 is 4679576013177.

77131067597640 is a `hidden beast` number, since 7 + 7 + 1 + 31 + 0 + 6 + 7 + 597 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×77131067597640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (77131067597641) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9768676 + ... + 15801555.

It is an arithmetic number, because the mean of its divisors is an integer number (661342087890).

Almost surely, 2^{77131067597640} is an apocalyptic number.

77131067597640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77131067597640 is an abundant number, since it is smaller than the sum of its proper divisors (240313134589560).

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

77131067597640 is a wasteful number, since it uses less digits than its factorization.

77131067597640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25570287 (or 25570267 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 63.

The spelling of 77131067597640 in words is "seventy-seven trillion, one hundred thirty-one billion, sixty-seven million, five hundred ninety-seven thousand, six hundred forty".