795557629440 has 960 divisors, whose sum is σ = 3223299695616. Its totient is φ = 177598365696.

The previous prime is 795557629429. The next prime is 795557629507. The reversal of 795557629440 is 44926755597.

795557629440 is a `hidden beast` number, since 7 + 9 + 55 + 576 + 2 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1378782432 + ... + 1378783008.

Almost surely, 2^795557629440 is an apocalyptic number.

795557629440 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 795557629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611649847808).

795557629440 is an abundant number, since it is smaller than the sum of its proper divisors (2427742066176).

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

795557629440 is a wasteful number, since it uses less digits than its factorization.

795557629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 795557629440 in words is "seven hundred ninety-five billion, five hundred fifty-seven million, six hundred twenty-nine thousand, four hundred forty".