72466280964 has 864 divisors, whose sum is σ = 257660282880. Its totient is φ = 17387758080.

The previous prime is 72466280911. The next prime is 72466280981. The reversal of 72466280964 is 46908266427.

72466280964 is a `hidden beast` number, since 7 + 2 + 4 + 6 + 628 + 0 + 9 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 72466280964.

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 287 ways as a sum of consecutive naturals, for example, 814227832 + ... + 814227920.

It is an arithmetic number, because the mean of its divisors is an integer number (298217920).

Almost surely, 2^72466280964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72466280964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128830141440).

72466280964 is an abundant number, since it is smaller than the sum of its proper divisors (185194001916).

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

72466280964 is a wasteful number, since it uses less digits than its factorization.

72466280964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 72466280964 in words is "seventy-two billion, four hundred sixty-six million, two hundred eighty thousand, nine hundred sixty-four".