78233539760640 has 1440 divisors, whose sum is σ = 301220284292928. Its totient is φ = 18750342758400.

The previous prime is 78233539760639. The next prime is 78233539760699. The reversal of 78233539760640 is 4606793533287.

78233539760640 is a `hidden beast` number, since 7 + 8 + 2 + 33 + 539 + 7 + 6 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×78233539760640² (a number of 29 digits) contains 22 as substring.

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, 114543981739 + ... + 114543982421.

Almost surely, 2^{78233539760640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78233539760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150610142146464).

78233539760640 is an abundant number, since it is smaller than the sum of its proper divisors (222986744532288).

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

78233539760640 is a wasteful number, since it uses less digits than its factorization.

78233539760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 78233539760640 in words is "seventy-eight trillion, two hundred thirty-three billion, five hundred thirty-nine million, seven hundred sixty thousand, six hundred forty".