648046810400 has 72 divisors (see below), whose sum is σ = 1725866506224. Its totient is φ = 235653382400.

The previous prime is 648046810399. The next prime is 648046810561. The reversal of 648046810400 is 4018640846.

It is a super-2 number, since 2×648046810400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36812042 + ... + 36829641.

It is an arithmetic number, because the mean of its divisors is an integer number (23970368142).

Almost surely, 2^648046810400 is an apocalyptic number.

It is an amenable number.

648046810400 is an abundant number, since it is smaller than the sum of its proper divisors (1077819695824).

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

648046810400 is a wasteful number, since it uses less digits than its factorization.

648046810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73641714 (or 73641701 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 648046810400 in words is "six hundred forty-eight billion, forty-six million, eight hundred ten thousand, four hundred".