8372246400 has 768 divisors, whose sum is σ = 35616768000. Its totient is φ = 1881169920.

The previous prime is 8372246387. The next prime is 8372246417. The reversal of 8372246400 is 46422738.

8372246400 is a `hidden beast` number, since 8 + 3 + 7 + 2 + 2 + 4 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65923137 + ... + 65923263.

It is an arithmetic number, because the mean of its divisors is an integer number (46376000).

Almost surely, 2^8372246400 is an apocalyptic number.

8372246400 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 8372246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808384000).

8372246400 is an abundant number, since it is smaller than the sum of its proper divisors (27244521600).

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

8372246400 is a wasteful number, since it uses less digits than its factorization.

8372246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 8372246400 is about 91499.9803278667. The cubic root of 8372246400 is about 2030.5514610730.

The spelling of 8372246400 in words is "eight billion, three hundred seventy-two million, two hundred forty-six thousand, four hundred".