83407648378560 has 448 divisors, whose sum is σ = 301874263326720. Its totient is φ = 19313963806720.

The previous prime is 83407648378507. The next prime is 83407648378589. The reversal of 83407648378560 is 6587384670438.

83407648378560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174391909 + ... + 174869531.

It is an arithmetic number, because the mean of its divisors is an integer number (673826480640).

Almost surely, 2^{83407648378560} is an apocalyptic number.

83407648378560 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 83407648378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150937131663360).

83407648378560 is an abundant number, since it is smaller than the sum of its proper divisors (218466614948160).

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

83407648378560 is a wasteful number, since it uses less digits than its factorization.

83407648378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478396 (or 478386 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 69.

The spelling of 83407648378560 in words is "eighty-three trillion, four hundred seven billion, six hundred forty-eight million, three hundred seventy-eight thousand, five hundred sixty".