83477083680 has 480 divisors, whose sum is σ = 311530665600. Its totient is φ = 20992462848.

The previous prime is 83477083673. The next prime is 83477083691. The reversal of 83477083680 is 8638077438.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64760476 + ... + 64761764.

It is an arithmetic number, because the mean of its divisors is an integer number (649022220).

Almost surely, 2^83477083680 is an apocalyptic number.

83477083680 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 83477083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155765332800).

83477083680 is an abundant number, since it is smaller than the sum of its proper divisors (228053581920).

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

83477083680 is a wasteful number, since it uses less digits than its factorization.

83477083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 83477083680 in words is "eighty-three billion, four hundred seventy-seven million, eighty-three thousand, six hundred eighty".