77006564756253 has 24 divisors (see below), whose sum is σ = 121351268540736. Its totient is φ = 46667725790400.

The previous prime is 77006564756179. The next prime is 77006564756257. The reversal of 77006564756253 is 35265746560077.

77006564756253 is a `hidden beast` number, since 7 + 7 + 0 + 0 + 6 + 5 + 64 + 7 + 562 + 5 + 3 = 666.

It is not a de Polignac number, because 77006564756253 - 2³² = 77002269788957 is a prime.

It is a super-2 number, since 2×77006564756253² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77006564756257) 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, 22738200 + ... + 25904417.

It is an arithmetic number, because the mean of its divisors is an integer number (5056302855864).

Almost surely, 2^{77006564756253} is an apocalyptic number.

It is an amenable number.

77006564756253 is a deficient number, since it is larger than the sum of its proper divisors (44344703784483).

77006564756253 is a wasteful number, since it uses less digits than its factorization.

77006564756253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48658625 (or 48658622 counting only the distinct ones).

The product of its (nonzero) digits is 222264000, while the sum is 63.

The spelling of 77006564756253 in words is "seventy-seven trillion, six billion, five hundred sixty-four million, seven hundred fifty-six thousand, two hundred fifty-three".