1640193174816 has 96 divisors (see below), whose sum is σ = 4979863784448. Its totient is φ = 462980501760.

The previous prime is 1640193174757. The next prime is 1640193174827. The reversal of 1640193174816 is 6184713910461.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14647620 + ... + 14759171.

It is an arithmetic number, because the mean of its divisors is an integer number (51873581088).

Almost surely, 2^{1640193174816} is an apocalyptic number.

1640193174816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1640193174816 is an abundant number, since it is smaller than the sum of its proper divisors (3339670609632).

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

1640193174816 is a wasteful number, since it uses less digits than its factorization.

1640193174816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29406894 (or 29406886 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 1640193174816 in words is "one trillion, six hundred forty billion, one hundred ninety-three million, one hundred seventy-four thousand, eight hundred sixteen".