84137028480 has 256 divisors, whose sum is σ = 299892974400. Its totient is φ = 22292914176.

The previous prime is 84137028467. The next prime is 84137028487. The reversal of 84137028480 is 8482073148.

84137028480 is a `hidden beast` number, since 84 + 1 + 3 + 70 + 28 + 480 = 666.

It is a super-2 number, since 2×84137028480² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84137028487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2697454 + ... + 2728466.

Almost surely, 2^84137028480 is an apocalyptic number.

84137028480 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 84137028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149946487200).

84137028480 is an abundant number, since it is smaller than the sum of its proper divisors (215755945920).

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

84137028480 is a wasteful number, since it uses less digits than its factorization.

84137028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31198 (or 31180 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 84137028480 in words is "eighty-four billion, one hundred thirty-seven million, twenty-eight thousand, four hundred eighty".