1640500414164 has 72 divisors (see below), whose sum is σ = 4169169059328. Its totient is φ = 543887287680.

The previous prime is 1640500414129. The next prime is 1640500414187. The reversal of 1640500414164 is 4614140050461.

1640500414164 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 500 + 4 + 141 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58686439 + ... + 58714385.

It is an arithmetic number, because the mean of its divisors is an integer number (57905125824).

Almost surely, 2^{1640500414164} is an apocalyptic number.

It is an amenable number.

1640500414164 is an abundant number, since it is smaller than the sum of its proper divisors (2528668645164).

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

1640500414164 is a wasteful number, since it uses less digits than its factorization.

1640500414164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36685 (or 36680 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1640500414164 in words is "one trillion, six hundred forty billion, five hundred million, four hundred fourteen thousand, one hundred sixty-four".