648855574752 has 768 divisors, whose sum is σ = 2341011456000. Its totient is φ = 152264448000.

The previous prime is 648855574723. The next prime is 648855574793. The reversal of 648855574752 is 257475558846.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 309124999 + ... + 309127097.

It is an arithmetic number, because the mean of its divisors is an integer number (3048192000).

Almost surely, 2^648855574752 is an apocalyptic number.

648855574752 is a gapful number since it is divisible by the number (62) 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 648855574752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170505728000).

648855574752 is an abundant number, since it is smaller than the sum of its proper divisors (1692155881248).

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

648855574752 is a wasteful number, since it uses less digits than its factorization.

648855574752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2243 counting only the distinct ones).

The product of its digits is 376320000, while the sum is 66.

The spelling of 648855574752 in words is "six hundred forty-eight billion, eight hundred fifty-five million, five hundred seventy-four thousand, seven hundred fifty-two".