78368540040 has 576 divisors, whose sum is σ = 325361836800. Its totient is φ = 16857372672.

The previous prime is 78368540027. The next prime is 78368540069. The reversal of 78368540040 is 4004586387.

78368540040 is a `hidden beast` number, since 7 + 8 + 3 + 68 + 540 + 0 + 40 = 666.

It is a super-2 number, since 2×78368540040² (a number of 23 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 143 ways as a sum of consecutive naturals, for example, 8091921 + ... + 8101599.

It is an arithmetic number, because the mean of its divisors is an integer number (564864300).

Almost surely, 2^78368540040 is an apocalyptic number.

78368540040 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 78368540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162680918400).

78368540040 is an abundant number, since it is smaller than the sum of its proper divisors (246993296760).

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

78368540040 is a wasteful number, since it uses less digits than its factorization.

78368540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9736 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 78368540040 in words is "seventy-eight billion, three hundred sixty-eight million, five hundred forty thousand, forty".