72678118464 has 672 divisors, whose sum is σ = 256934695680. Its totient is φ = 19201867776.

The previous prime is 72678118421. The next prime is 72678118481. The reversal of 72678118464 is 46481187627.

72678118464 is a `hidden beast` number, since 7 + 2 + 67 + 8 + 118 + 464 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 72678118464.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 462917874 + ... + 462918030.

Almost surely, 2^72678118464 is an apocalyptic number.

72678118464 is a gapful number since it is divisible by the number (74) 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 72678118464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128467347840).

72678118464 is an abundant number, since it is smaller than the sum of its proper divisors (184256577216).

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

72678118464 is a wasteful number, since it uses less digits than its factorization.

72678118464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 72678118464 in words is "seventy-two billion, six hundred seventy-eight million, one hundred eighteen thousand, four hundred sixty-four".