506077556670640 has 40 divisors (see below), whose sum is σ = 1176635101524768. Its totient is φ = 202430199912960.

The previous prime is 506077556670607. The next prime is 506077556670641. The reversal of 506077556670640 is 46076655770605.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×506077556670640² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (506077556670641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7143949 + ... + 32606611.

Almost surely, 2^{506077556670640} is an apocalyptic number.

It is an amenable number.

506077556670640 is an abundant number, since it is smaller than the sum of its proper divisors (670557544854128).

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

506077556670640 is a wasteful number, since it uses less digits than its factorization.

506077556670640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25711117 (or 25711111 counting only the distinct ones).

The product of its (nonzero) digits is 222264000, while the sum is 64.

The spelling of 506077556670640 in words is "five hundred six trillion, seventy-seven billion, five hundred fifty-six million, six hundred seventy thousand, six hundred forty".