84031627680 has 1152 divisors, whose sum is σ = 389634126336. Its totient is φ = 15925248000.

The previous prime is 84031627663. The next prime is 84031627681. The reversal of 84031627680 is 8672613048.

84031627680 is a `hidden beast` number, since 8 + 403 + 162 + 7 + 6 + 80 = 666.

It is a super-2 number, since 2×84031627680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (84031627681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139819380 + ... + 139819980.

It is an arithmetic number, because the mean of its divisors is an integer number (338224068).

Almost surely, 2^84031627680 is an apocalyptic number.

84031627680 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 84031627680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194817063168).

84031627680 is an abundant number, since it is smaller than the sum of its proper divisors (305602498656).

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

84031627680 is a wasteful number, since it uses less digits than its factorization.

84031627680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 84031627680 in words is "eighty-four billion, thirty-one million, six hundred twenty-seven thousand, six hundred eighty".