8115374400 has 336 divisors, whose sum is σ = 30651907200. Its totient is φ = 1841356800.

The previous prime is 8115374387. The next prime is 8115374453. The reversal of 8115374400 is 44735118.

It is a tau number, because it is divible by the number of its divisors (336).

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, 5005590 + ... + 5007210.

Almost surely, 2^8115374400 is an apocalyptic number.

8115374400 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 8115374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15325953600).

8115374400 is an abundant number, since it is smaller than the sum of its proper divisors (22536532800).

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

8115374400 is a wasteful number, since it uses less digits than its factorization.

8115374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 8115374400 is about 90085.3728415440. The cubic root of 8115374400 is about 2009.5686805013.

The spelling of 8115374400 in words is "eight billion, one hundred fifteen million, three hundred seventy-four thousand, four hundred".