78298713062640 has 960 divisors, whose sum is σ = 306104408064000. Its totient is φ = 17567172919296.

The previous prime is 78298713062639. The next prime is 78298713062659. The reversal of 78298713062640 is 4626031789287.

78298713062640 is a `hidden beast` number, since 78 + 298 + 7 + 13 + 0 + 6 + 264 + 0 = 666.

It is a super-2 number, since 2×78298713062640² (a number of 29 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 64337479312 + ... + 64337480528.

It is an arithmetic number, because the mean of its divisors is an integer number (318858758400).

Almost surely, 2^{78298713062640} is an apocalyptic number.

78298713062640 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 78298713062640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153052204032000).

78298713062640 is an abundant number, since it is smaller than the sum of its proper divisors (227805695001360).

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

78298713062640 is a wasteful number, since it uses less digits than its factorization.

78298713062640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 78298713062640 in words is "seventy-eight trillion, two hundred ninety-eight billion, seven hundred thirteen million, sixty-two thousand, six hundred forty".