78459575040 has 1728 divisors, whose sum is σ = 369718981632. Its totient is φ = 14987427840.

The previous prime is 78459575009. The next prime is 78459575063. The reversal of 78459575040 is 4057595487.

78459575040 is a `hidden beast` number, since 7 + 8 + 4 + 595 + 7 + 5 + 0 + 40 = 666.

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, 1824641259 + ... + 1824641301.

It is an arithmetic number, because the mean of its divisors is an integer number (213957744).

Almost surely, 2^78459575040 is an apocalyptic number.

78459575040 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 78459575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184859490816).

78459575040 is an abundant number, since it is smaller than the sum of its proper divisors (291259406592).

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

78459575040 is a wasteful number, since it uses less digits than its factorization.

78459575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 78459575040 in words is "seventy-eight billion, four hundred fifty-nine million, five hundred seventy-five thousand, forty".