83976918480 has 800 divisors, whose sum is σ = 365880582144. Its totient is φ = 17377431552.

The previous prime is 83976918469. The next prime is 83976918559. The reversal of 83976918480 is 8481967938.

83976918480 is a `hidden beast` number, since 8 + 3 + 97 + 69 + 1 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31251697 + ... + 31254383.

Almost surely, 2^83976918480 is an apocalyptic number.

83976918480 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 83976918480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182940291072).

83976918480 is an abundant number, since it is smaller than the sum of its proper divisors (281903663664).

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

83976918480 is a wasteful number, since it uses less digits than its factorization.

83976918480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 83976918480 in words is "eighty-three billion, nine hundred seventy-six million, nine hundred eighteen thousand, four hundred eighty".