640272408048000 has 3072 divisors, whose sum is σ = 3002556211200000. Its totient is φ = 126966428467200.

The previous prime is 640272408047999. The next prime is 640272408048011. The reversal of 640272408048000 is 840804272046.

640272408048000 is a `hidden beast` number, since 64 + 0 + 2 + 72 + 40 + 8 + 0 + 480 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31619941876 + ... + 31619962124.

It is an arithmetic number, because the mean of its divisors is an integer number (977394600000).

Almost surely, 2^{640272408048000} is an apocalyptic number.

640272408048000 is a gapful number since it is divisible by the number (60) 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 640272408048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501278105600000).

640272408048000 is an abundant number, since it is smaller than the sum of its proper divisors (2362283803152000).

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

640272408048000 is a wasteful number, since it uses less digits than its factorization.

640272408048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20450 (or 20425 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 640272408048000 in words is "six hundred forty trillion, two hundred seventy-two billion, four hundred eight million, forty-eight thousand".