84332632128960 has 448 divisors, whose sum is σ = 286563394059264. Its totient is φ = 20960528793600.

The previous prime is 84332632128959. The next prime is 84332632128967. The reversal of 84332632128960 is 6982123623348.

It is a super-2 number, since 2×84332632128960² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84332632128960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84332632128967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 743178147 + ... + 743291613.

It is an arithmetic number, because the mean of its divisors is an integer number (639650433168).

Almost surely, 2^{84332632128960} is an apocalyptic number.

84332632128960 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 84332632128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143281697029632).

84332632128960 is an abundant number, since it is smaller than the sum of its proper divisors (202230761930304).

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

84332632128960 is a wasteful number, since it uses less digits than its factorization.

84332632128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114372 (or 114362 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 57.

The spelling of 84332632128960 in words is "eighty-four trillion, three hundred thirty-two billion, six hundred thirty-two million, one hundred twenty-eight thousand, nine hundred sixty".