2637643680 has 576 divisors, whose sum is σ = 11110514688. Its totient is φ = 556554240.

The previous prime is 2637643667. The next prime is 2637643717. The reversal of 2637643680 is 863467362.

2637643680 is a `hidden beast` number, since 2 + 637 + 6 + 4 + 3 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7186857 + ... + 7187223.

It is an arithmetic number, because the mean of its divisors is an integer number (19289088).

Almost surely, 2^2637643680 is an apocalyptic number.

2637643680 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 2637643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555257344).

2637643680 is an abundant number, since it is smaller than the sum of its proper divisors (8472871008).

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

2637643680 is a wasteful number, since it uses less digits than its factorization.

2637643680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 2637643680 is about 51357.9952879783. The cubic root of 2637643680 is about 1381.6733324831.

The spelling of 2637643680 in words is "two billion, six hundred thirty-seven million, six hundred forty-three thousand, six hundred eighty".