864475971984 has 105 divisors (see below), whose sum is σ = 2511526245553. Its totient is φ = 288125185536.

The previous prime is 864475971979. The next prime is 864475972007. The reversal of 864475971984 is 489179574468.

The square root of 864475971984 is 929772.

It is a perfect power (a square), and thus also a powerful number.

864475971984 is a `hidden beast` number, since 8 + 6 + 4 + 475 + 9 + 71 + 9 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 204872106384 + 659603865600 = 452628^2 + 812160^2 .

It is a super-2 number, since 2×864475971984² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 100411072 + ... + 100419680.

Almost surely, 2^864475971984 is an apocalyptic number.

864475971984 is the 929772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864475971984

864475971984 is an abundant number, since it is smaller than the sum of its proper divisors (1647050273569).

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

864475971984 is an frugal number, since it uses more digits than its factorization.

864475971984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17244 (or 8614 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 864475971984 in words is "eight hundred sixty-four billion, four hundred seventy-five million, nine hundred seventy-one thousand, nine hundred eighty-four".