84479915520 has 2400 divisors, whose sum is σ = 420402717504. Its totient is φ = 15765995520.

The previous prime is 84479915519. The next prime is 84479915537. The reversal of 84479915520 is 2551997448.

It is a happy number.

84479915520 is a `hidden beast` number, since 8 + 44 + 79 + 9 + 1 + 5 + 520 = 666.

It is a super-2 number, since 2×84479915520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2283240942 + ... + 2283240978.

Almost surely, 2^84479915520 is an apocalyptic number.

84479915520 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 84479915520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210201358752).

84479915520 is an abundant number, since it is smaller than the sum of its proper divisors (335922801984).

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

84479915520 is a wasteful number, since it uses less digits than its factorization.

84479915520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

It can be divided in two parts, 84479 and 915520, that added together give a palindrome (999999).

The spelling of 84479915520 in words is "eighty-four billion, four hundred seventy-nine million, nine hundred fifteen thousand, five hundred twenty".