795164610240 has 2240 divisors, whose sum is σ = 4000121072640. Its totient is φ = 144402186240.

The previous prime is 795164610239. The next prime is 795164610283. The reversal of 795164610240 is 42016461597.

795164610240 is a `hidden beast` number, since 7 + 9 + 5 + 1 + 6 + 4 + 610 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×795164610240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 492971674 + ... + 492973286.

It is an arithmetic number, because the mean of its divisors is an integer number (1785768336).

Almost surely, 2^795164610240 is an apocalyptic number.

795164610240 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 795164610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000060536320).

795164610240 is an abundant number, since it is smaller than the sum of its proper divisors (3204956462400).

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

795164610240 is a wasteful number, since it uses less digits than its factorization.

795164610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 795164610240 in words is "seven hundred ninety-five billion, one hundred sixty-four million, six hundred ten thousand, two hundred forty".