84762921640320 has 1920 divisors, whose sum is σ = 387739779102720. Its totient is φ = 17447851008000.

The previous prime is 84762921640283. The next prime is 84762921640333. The reversal of 84762921640320 is 2304612926748.

It is a happy number.

84762921640320 is a `hidden beast` number, since 8 + 4 + 7 + 62 + 9 + 216 + 40 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2989754145 + ... + 2989782495.

It is an arithmetic number, because the mean of its divisors is an integer number (201947801616).

Almost surely, 2^{84762921640320} is an apocalyptic number.

84762921640320 is a gapful number since it is divisible by the number (80) 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 84762921640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193869889551360).

84762921640320 is an abundant number, since it is smaller than the sum of its proper divisors (302976857462400).

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

84762921640320 is a wasteful number, since it uses less digits than its factorization.

84762921640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28514 (or 28486 counting only the distinct ones).

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

The spelling of 84762921640320 in words is "eighty-four trillion, seven hundred sixty-two billion, nine hundred twenty-one million, six hundred forty thousand, three hundred twenty".