798536680381440 has 11264 divisors, whose sum is σ = 4183536107520000. Its totient is φ = 142021361664000.

The previous prime is 798536680381399. The next prime is 798536680381477. The reversal of 798536680381440 is 44183086635897.

798536680381440 is a `hidden beast` number, since 7 + 9 + 8 + 536 + 6 + 8 + 0 + 3 + 81 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (11264).

It is a super-2 number, since 2×798536680381440² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 6095699850175 + ... + 6095699850305.

It is an arithmetic number, because the mean of its divisors is an integer number (371407680000).

Almost surely, 2^{798536680381440} is an apocalyptic number.

798536680381440 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 798536680381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091768053760000).

798536680381440 is an abundant number, since it is smaller than the sum of its proper divisors (3384999427138560).

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

798536680381440 is a wasteful number, since it uses less digits than its factorization.

798536680381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 798536680381440 in words is "seven hundred ninety-eight trillion, five hundred thirty-six billion, six hundred eighty million, three hundred eighty-one thousand, four hundred forty".