2957638164480 has 224 divisors, whose sum is σ = 10515408890400. Its totient is φ = 788703215616.

The previous prime is 2957638164451. The next prime is 2957638164493. The reversal of 2957638164480 is 844618367592.

2957638164480 is a `hidden beast` number, since 2 + 9 + 5 + 76 + 3 + 81 + 6 + 4 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231265 + ... + 2443104.

It is a 1-persistent number, because it is pandigital, but 2⋅2957638164480 = 5915276328960 is not.

Almost surely, 2^{2957638164480} is an apocalyptic number.

2957638164480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2957638164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257704445200).

2957638164480 is an abundant number, since it is smaller than the sum of its proper divisors (7557770725920).

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

2957638164480 is an equidigital number, since it uses as much as digits as its factorization.

2957638164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674409 (or 2674379 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2957638164480 in words is "two trillion, nine hundred fifty-seven billion, six hundred thirty-eight million, one hundred sixty-four thousand, four hundred eighty".