83237606400 has 528 divisors, whose sum is σ = 298331155584. Its totient is φ = 20346961920.

The previous prime is 83237606393. The next prime is 83237606411. The reversal of 83237606400 is 460673238.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262579042 + ... + 262579358.

It is an arithmetic number, because the mean of its divisors is an integer number (565021128).

Almost surely, 2^83237606400 is an apocalyptic number.

83237606400 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 83237606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149165577792).

83237606400 is an abundant number, since it is smaller than the sum of its proper divisors (215093549184).

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

83237606400 is a wasteful number, since it uses less digits than its factorization.

83237606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 83237606400 in words is "eighty-three billion, two hundred thirty-seven million, six hundred six thousand, four hundred".