2637479873952 has 576 divisors, whose sum is σ = 10122276326400. Its totient is φ = 648998023680.

The previous prime is 2637479873921. The next prime is 2637479873993. The reversal of 2637479873952 is 2593789747362.

2637479873952 is a `hidden beast` number, since 2 + 6 + 37 + 479 + 8 + 73 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23961699 + ... + 24071517.

It is an arithmetic number, because the mean of its divisors is an integer number (17573396400).

Almost surely, 2^{2637479873952} is an apocalyptic number.

2637479873952 is a gapful number since it is divisible by the number (22) 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 2637479873952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061138163200).

2637479873952 is an abundant number, since it is smaller than the sum of its proper divisors (7484796452448).

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

2637479873952 is a wasteful number, since it uses less digits than its factorization.

2637479873952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109894 (or 109861 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 2637479873952 in words is "two trillion, six hundred thirty-seven billion, four hundred seventy-nine million, eight hundred seventy-three thousand, nine hundred fifty-two".