84372761088 has 480 divisors, whose sum is σ = 304861594752. Its totient is φ = 21823488000.

The previous prime is 84372761071. The next prime is 84372761107. The reversal of 84372761088 is 88016727348.

It is a happy number.

It is a super-2 number, since 2×84372761088² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142280920 + ... + 142281512.

Almost surely, 2^84372761088 is an apocalyptic number.

84372761088 is a gapful number since it is divisible by the number (88) 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 84372761088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152430797376).

84372761088 is an abundant number, since it is smaller than the sum of its proper divisors (220488833664).

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

84372761088 is a wasteful number, since it uses less digits than its factorization.

84372761088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 84372761088 in words is "eighty-four billion, three hundred seventy-two million, seven hundred sixty-one thousand, eighty-eight".