78073024296960 has 2304 divisors, whose sum is σ = 353479791974400. Its totient is φ = 15997230120960.

The previous prime is 78073024296937. The next prime is 78073024297007. The reversal of 78073024296960 is 6969242037087.

78073024296960 is a `hidden beast` number, since 7 + 80 + 73 + 0 + 2 + 429 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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, 17095032597 + ... + 17095037163.

It is an arithmetic number, because the mean of its divisors is an integer number (153420048600).

Almost surely, 2^{78073024296960} is an apocalyptic number.

78073024296960 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 78073024296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176739895987200).

78073024296960 is an abundant number, since it is smaller than the sum of its proper divisors (275406767677440).

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

78073024296960 is a wasteful number, since it uses less digits than its factorization.

78073024296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 78073024296960 in words is "seventy-eight trillion, seventy-three billion, twenty-four million, two hundred ninety-six thousand, nine hundred sixty".