640367424400 has 240 divisors, whose sum is σ = 1705045870080. Its totient is φ = 229180723200.

The previous prime is 640367424397. The next prime is 640367424409. The reversal of 640367424400 is 4424763046.

640367424400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (640367424409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87323134 + ... + 87330466.

It is an arithmetic number, because the mean of its divisors is an integer number (7104357792).

Almost surely, 2^640367424400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640367424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852522935040).

640367424400 is an abundant number, since it is smaller than the sum of its proper divisors (1064678445680).

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

640367424400 is a wasteful number, since it uses less digits than its factorization.

640367424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674 (or 7663 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

The spelling of 640367424400 in words is "six hundred forty billion, three hundred sixty-seven million, four hundred twenty-four thousand, four hundred".