1640970792960 has 416 divisors, whose sum is σ = 5542882464000. Its totient is φ = 413355737088.

The previous prime is 1640970792911. The next prime is 1640970792973. The reversal of 1640970792960 is 692970790461.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1640970792894 and 1640970792903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442427586 + ... + 442431294.

Almost surely, 2^{1640970792960} is an apocalyptic number.

1640970792960 is a gapful number since it is divisible by the number (10) 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 1640970792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771441232000).

1640970792960 is an abundant number, since it is smaller than the sum of its proper divisors (3901911671040).

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

1640970792960 is a wasteful number, since it uses less digits than its factorization.

1640970792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The spelling of 1640970792960 in words is "one trillion, six hundred forty billion, nine hundred seventy million, seven hundred ninety-two thousand, nine hundred sixty".