640374081032400 has 3840 divisors, whose sum is σ = 2605648587816960. Its totient is φ = 132306370560000.

The previous prime is 640374081032393. The next prime is 640374081032417. The reversal of 640374081032400 is 4230180473046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2278911320260 + ... + 2278911320540.

It is an arithmetic number, because the mean of its divisors is an integer number (678554319744).

Almost surely, 2^{640374081032400} is an apocalyptic number.

640374081032400 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 640374081032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302824293908480).

640374081032400 is an abundant number, since it is smaller than the sum of its proper divisors (1965274506784560).

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

640374081032400 is a wasteful number, since it uses less digits than its factorization.

640374081032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 640374081032400 in words is "six hundred forty trillion, three hundred seventy-four billion, eighty-one million, thirty-two thousand, four hundred".