6379200901264 has 135 divisors (see below), whose sum is σ = 13189304215827. Its totient is φ = 2988538939584.

The previous prime is 6379200901261. The next prime is 6379200901291. The reversal of 6379200901264 is 4621090029736.

The square root of 6379200901264 is 2525708.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6379200901261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32056285837 + ... + 32056286035.

Almost surely, 2^{6379200901264} is an apocalyptic number.

6379200901264 is the 2525708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6379200901264

6379200901264 is an abundant number, since it is smaller than the sum of its proper divisors (6810103314563).

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

6379200901264 is an equidigital number, since it uses as much as digits as its factorization.

6379200901264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

Multiplying 6379200901264 by its sum of digits (49), we get a square (312580844161936 = 17679956²).

The spelling of 6379200901264 in words is "six trillion, three hundred seventy-nine billion, two hundred million, nine hundred one thousand, two hundred sixty-four".