3977525064672 has 72 divisors (see below), whose sum is σ = 11730016070136. Its totient is φ = 1325841685632.

The previous prime is 3977525064631. The next prime is 3977525064679. The reversal of 3977525064672 is 2764605257793.

It is a happy number.

3977525064672 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 52 + 506 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3977525064679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255748723 + ... + 255764274.

It is an arithmetic number, because the mean of its divisors is an integer number (162916889863).

Almost surely, 2^{3977525064672} is an apocalyptic number.

3977525064672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3977525064672 is an abundant number, since it is smaller than the sum of its proper divisors (7752491005464).

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

3977525064672 is an equidigital number, since it uses as much as digits as its factorization.

3977525064672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511513022 (or 511513002 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 3977525064672 in words is "three trillion, nine hundred seventy-seven billion, five hundred twenty-five million, sixty-four thousand, six hundred seventy-two".