640407804132096 has 2592 divisors, whose sum is σ = 2770851744880128. Its totient is φ = 144510637178880.

The previous prime is 640407804132073. The next prime is 640407804132101. The reversal of 640407804132096 is 690231408704046.

640407804132096 is a `hidden beast` number, since 6 + 4 + 0 + 40 + 7 + 80 + 413 + 20 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7410111541 + ... + 7410197963.

It is an arithmetic number, because the mean of its divisors is an integer number (1069001444784).

Almost surely, 2^{640407804132096} is an apocalyptic number.

640407804132096 is a gapful number since it is divisible by the number (66) 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 640407804132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385425872440064).

640407804132096 is an abundant number, since it is smaller than the sum of its proper divisors (2130443940748032).

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

640407804132096 is a wasteful number, since it uses less digits than its factorization.

640407804132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86509 (or 86476 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 640407804132096 in words is "six hundred forty trillion, four hundred seven billion, eight hundred four million, one hundred thirty-two thousand, ninety-six".