2631796231680 has 1440 divisors, whose sum is σ = 12124855334592. Its totient is φ = 514633236480.

The previous prime is 2631796231619. The next prime is 2631796231693. The reversal of 2631796231680 is 861326971362.

2631796231680 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 7 + 9 + 623 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 331748994 + ... + 331756926.

Almost surely, 2^{2631796231680} is an apocalyptic number.

2631796231680 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 2631796231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062427667296).

2631796231680 is an abundant number, since it is smaller than the sum of its proper divisors (9493059102912).

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

2631796231680 is a wasteful number, since it uses less digits than its factorization.

2631796231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2631796231680 in words is "two trillion, six hundred thirty-one billion, seven hundred ninety-six million, two hundred thirty-one thousand, six hundred eighty".