640253877120 has 1536 divisors, whose sum is σ = 2822299200000. Its totient is φ = 135603486720.

The previous prime is 640253877059. The next prime is 640253877127. The reversal of 640253877120 is 21778352046.

640253877120 is a `hidden beast` number, since 6 + 40 + 2 + 538 + 7 + 71 + 2 + 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 not an unprimeable number, because it can be changed into a prime (640253877127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 610346356 + ... + 610347404.

It is an arithmetic number, because the mean of its divisors is an integer number (1837434375).

Almost surely, 2^640253877120 is an apocalyptic number.

640253877120 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 640253877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411149600000).

640253877120 is an abundant number, since it is smaller than the sum of its proper divisors (2182045322880).

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

640253877120 is a wasteful number, since it uses less digits than its factorization.

640253877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 640253877120 in words is "six hundred forty billion, two hundred fifty-three million, eight hundred seventy-seven thousand, one hundred twenty".