83237452346880 has 1440 divisors, whose sum is σ = 331118616052224. Its totient is φ = 19933521444864.

The previous prime is 83237452346861. The next prime is 83237452346899. The reversal of 83237452346880 is 8864325473238.

83237452346880 is a `hidden beast` number, since 8 + 3 + 2 + 3 + 74 + 5 + 23 + 468 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (83237452346861) and next prime (83237452346899).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8078947809 + ... + 8078958111.

Almost surely, 2^{83237452346880} is an apocalyptic number.

83237452346880 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 83237452346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165559308026112).

83237452346880 is an abundant number, since it is smaller than the sum of its proper divisors (247881163705344).

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

83237452346880 is an equidigital number, since it uses as much as digits as its factorization.

83237452346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400 (or 10363 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 83237452346880 in words is "eighty-three trillion, two hundred thirty-seven billion, four hundred fifty-two million, three hundred forty-six thousand, eight hundred eighty".