640632032165400 has 384 divisors, whose sum is σ = 2294095979174400. Its totient is φ = 146159369625600.

The previous prime is 640632032165329. The next prime is 640632032165407. The reversal of 640632032165400 is 4561230236046.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640632032165407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1745536314 + ... + 1745903286.

It is an arithmetic number, because the mean of its divisors is an integer number (5974208279100).

Almost surely, 2^{640632032165400} is an apocalyptic number.

640632032165400 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 640632032165400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147047989587200).

640632032165400 is an abundant number, since it is smaller than the sum of its proper divisors (1653463947009000).

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

640632032165400 is a wasteful number, since it uses less digits than its factorization.

640632032165400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382579 (or 382570 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 640632032165400 in words is "six hundred forty trillion, six hundred thirty-two billion, thirty-two million, one hundred sixty-five thousand, four hundred".