8249387630400 has 1344 divisors, whose sum is σ = 36202762240000. Its totient is φ = 1824647731200.

The previous prime is 8249387630377. The next prime is 8249387630417. The reversal of 8249387630400 is 40367839428.

8249387630400 is a `hidden beast` number, since 8 + 2 + 493 + 87 + 6 + 30 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 459336621 + ... + 459354579.

Almost surely, 2^{8249387630400} is an apocalyptic number.

8249387630400 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 8249387630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18101381120000).

8249387630400 is an abundant number, since it is smaller than the sum of its proper divisors (27953374609600).

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

8249387630400 is a wasteful number, since it uses less digits than its factorization.

8249387630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18042 (or 18007 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 8249387630400 in words is "eight trillion, two hundred forty-nine billion, three hundred eighty-seven million, six hundred thirty thousand, four hundred".