790163384640 has 1344 divisors, whose sum is σ = 3220092518400. Its totient is φ = 163487600640.

The previous prime is 790163384639. The next prime is 790163384711. The reversal of 790163384640 is 46483361097.

790163384640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10002068121 + ... + 10002068199.

Almost surely, 2^790163384640 is an apocalyptic number.

790163384640 is a gapful number since it is divisible by the number (70) 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 790163384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610046259200).

790163384640 is an abundant number, since it is smaller than the sum of its proper divisors (2429929133760).

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

790163384640 is a wasteful number, since it uses less digits than its factorization.

790163384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 790163384640 in words is "seven hundred ninety billion, one hundred sixty-three million, three hundred eighty-four thousand, six hundred forty".