8015198400 has 672 divisors, whose sum is σ = 32382927360. Its totient is φ = 1912320000.

The previous prime is 8015198381. The next prime is 8015198407. The reversal of 8015198400 is 48915108.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8015198407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47995117 + ... + 47995283.

It is an arithmetic number, because the mean of its divisors is an integer number (48188880).

Almost surely, 2^8015198400 is an apocalyptic number.

8015198400 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 8015198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16191463680).

8015198400 is an abundant number, since it is smaller than the sum of its proper divisors (24367728960).

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

8015198400 is a wasteful number, since it uses less digits than its factorization.

8015198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 8015198400 is about 89527.6404246197. The cubic root of 8015198400 is about 2001.2657321254.

The spelling of 8015198400 in words is "eight billion, fifteen million, one hundred ninety-eight thousand, four hundred".