84792780864 has 189 divisors, whose sum is σ = 267389073679. Its totient is φ = 25671486720.

The previous prime is 84792780857. The next prime is 84792780871. The reversal of 84792780864 is 46808729748.

The square root of 84792780864 is 291192.

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

84792780864 is a `hidden beast` number, since 8 + 479 + 2 + 7 + 80 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (84792780857) and next prime (84792780871).

It is a super-3 number, since 3×84792780864³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76874137 + ... + 76875239.

Almost surely, 2^84792780864 is an apocalyptic number.

84792780864 is the 291192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84792780864

84792780864 is an abundant number, since it is smaller than the sum of its proper divisors (182596292815).

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

84792780864 is a wasteful number, since it uses less digits than its factorization.

84792780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 84792780864 in words is "eighty-four billion, seven hundred ninety-two million, seven hundred eighty thousand, eight hundred sixty-four".