8336966400 has 1296 divisors, whose sum is σ = 37957570560. Its totient is φ = 1703116800.

The previous prime is 8336966399. The next prime is 8336966401. The reversal of 8336966400 is 46696338.

It is an interprime number because it is at equal distance from previous prime (8336966399) and next prime (8336966401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8336966401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 268934385 + ... + 268934415.

Almost surely, 2^8336966400 is an apocalyptic number.

8336966400 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 8336966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18978785280).

8336966400 is an abundant number, since it is smaller than the sum of its proper divisors (29620604160).

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

8336966400 is a wasteful number, since it uses less digits than its factorization.

8336966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 8336966400 is about 91306.9898748174. The cubic root of 8336966400 is about 2027.6952496565.

It can be divided in two parts, 83369 and 66400, that added together give a square (149769 = 387²).

The spelling of 8336966400 in words is "eight billion, three hundred thirty-six million, nine hundred sixty-six thousand, four hundred".