76140601419456 has 168 divisors, whose sum is σ = 249668108171040. Its totient is φ = 21732895973376.

The previous prime is 76140601419451. The next prime is 76140601419539. The reversal of 76140601419456 is 65491410604167.

76140601419456 is a `hidden beast` number, since 7 + 6 + 1 + 40 + 6 + 0 + 141 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (76140601419451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5289531 + ... + 13426106.

Almost surely, 2^{76140601419456} is an apocalyptic number.

It is an amenable number.

76140601419456 is an abundant number, since it is smaller than the sum of its proper divisors (173527506751584).

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

76140601419456 is a wasteful number, since it uses less digits than its factorization.

76140601419456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18716671 (or 18716658 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 76140601419456 in words is "seventy-six trillion, one hundred forty billion, six hundred one million, four hundred nineteen thousand, four hundred fifty-six".