83415636480 has 320 divisors, whose sum is σ = 291649476096. Its totient is φ = 20170752000.

The previous prime is 83415636461. The next prime is 83415636481. The reversal of 83415636480 is 8463651438.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (83415636481) 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, 41478675 + ... + 41480685.

Almost surely, 2^83415636480 is an apocalyptic number.

83415636480 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 83415636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824738048).

83415636480 is an abundant number, since it is smaller than the sum of its proper divisors (208233839616).

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

83415636480 is a wasteful number, since it uses less digits than its factorization.

83415636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 83415636480 in words is "eighty-three billion, four hundred fifteen million, six hundred thirty-six thousand, four hundred eighty".