78444948960 has 672 divisors, whose sum is σ = 328606165440. Its totient is φ = 17306763264.

The previous prime is 78444948947. The next prime is 78444948983. The reversal of 78444948960 is 6984944487.

78444948960 is a `hidden beast` number, since 7 + 8 + 4 + 4 + 494 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×78444948960² (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 (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23676264 + ... + 23679576.

It is an arithmetic number, because the mean of its divisors is an integer number (488997270).

Almost surely, 2^78444948960 is an apocalyptic number.

78444948960 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 78444948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164303082720).

78444948960 is an abundant number, since it is smaller than the sum of its proper divisors (250161216480).

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

78444948960 is a wasteful number, since it uses less digits than its factorization.

78444948960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 78444948960 in words is "seventy-eight billion, four hundred forty-four million, nine hundred forty-eight thousand, nine hundred sixty".