84770794321920 has 2688 divisors, whose sum is σ = 368438706155520. Its totient is φ = 18300020981760.

The previous prime is 84770794321847. The next prime is 84770794321949. The reversal of 84770794321920 is 2912349707748.

84770794321920 is a `hidden beast` number, since 8 + 4 + 7 + 7 + 0 + 7 + 9 + 432 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×84770794321920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 69655541152 + ... + 69655542368.

It is an arithmetic number, because the mean of its divisors is an integer number (137067971040).

Almost surely, 2^{84770794321920} is an apocalyptic number.

84770794321920 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 84770794321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184219353077760).

84770794321920 is an abundant number, since it is smaller than the sum of its proper divisors (283667911833600).

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

84770794321920 is a wasteful number, since it uses less digits than its factorization.

84770794321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 84770794321920 in words is "eighty-four trillion, seven hundred seventy billion, seven hundred ninety-four million, three hundred twenty-one thousand, nine hundred twenty".