84650940864 has 280 divisors, whose sum is σ = 289747858400. Its totient is φ = 23935647744.

The previous prime is 84650940859. The next prime is 84650940911. The reversal of 84650940864 is 46804905648.

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 84650940864.

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 39 ways as a sum of consecutive naturals, for example, 3507912 + ... + 3531960.

It is an arithmetic number, because the mean of its divisors is an integer number (1034813780).

Almost surely, 2^84650940864 is an apocalyptic number.

84650940864 is a gapful number since it is divisible by the number (84) 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 84650940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144873929200).

84650940864 is an abundant number, since it is smaller than the sum of its proper divisors (205096917536).

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

84650940864 is a wasteful number, since it uses less digits than its factorization.

84650940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24177 (or 24158 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 84650940864 in words is "eighty-four billion, six hundred fifty million, nine hundred forty thousand, eight hundred sixty-four".