78967496160 has 768 divisors, whose sum is σ = 323905720320. Its totient is φ = 17817366528.

The previous prime is 78967496147. The next prime is 78967496189. The reversal of 78967496160 is 6169476987.

78967496160 is a `hidden beast` number, since 7 + 8 + 9 + 6 + 7 + 4 + 9 + 616 + 0 = 666.

It is a super-2 number, since 2×78967496160² (a number of 23 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 252292164 + ... + 252292476.

It is an arithmetic number, because the mean of its divisors is an integer number (421752240).

Almost surely, 2^78967496160 is an apocalyptic number.

78967496160 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 78967496160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161952860160).

78967496160 is an abundant number, since it is smaller than the sum of its proper divisors (244938224160).

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

78967496160 is a wasteful number, since it uses less digits than its factorization.

78967496160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 78967496160 in words is "seventy-eight billion, nine hundred sixty-seven million, four hundred ninety-six thousand, one hundred sixty".