790465427640 has 640 divisors, whose sum is σ = 3229322342400. Its totient is φ = 169394872320.

The previous prime is 790465427639. The next prime is 790465427651. The reversal of 790465427640 is 46724564097.

790465427640 is a `hidden beast` number, since 7 + 90 + 4 + 6 + 542 + 7 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41789785 + ... + 41808695.

It is an arithmetic number, because the mean of its divisors is an integer number (5045816160).

Almost surely, 2^790465427640 is an apocalyptic number.

790465427640 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 790465427640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614661171200).

790465427640 is an abundant number, since it is smaller than the sum of its proper divisors (2438856914760).

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

790465427640 is a wasteful number, since it uses less digits than its factorization.

790465427640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19057 (or 19044 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 790465427640 in words is "seven hundred ninety billion, four hundred sixty-five million, four hundred twenty-seven thousand, six hundred forty".