6404908147264 has 63 divisors (see below), whose sum is σ = 13970695433331. Its totient is φ = 2911220653440.

The previous prime is 6404908147259. The next prime is 6404908147307. The reversal of 6404908147264 is 4627418094046.

The square root of 6404908147264 is 2530792.

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

It is a super-2 number, since 2×6404908147264² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 222695317 + ... + 222724075.

Almost surely, 2^{6404908147264} is an apocalyptic number.

6404908147264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6404908147264 is the 2530792-nd square number.

It is an amenable number.

6404908147264 is an abundant number, since it is smaller than the sum of its proper divisors (7565787286067).

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

6404908147264 is an frugal number, since it uses more digits than its factorization.

6404908147264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57552 (or 28772 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 6404908147264 in words is "six trillion, four hundred four billion, nine hundred eight million, one hundred forty-seven thousand, two hundred sixty-four".