8397754064400 has 240 divisors, whose sum is σ = 29402021150208. Its totient is φ = 2039682048000.

The previous prime is 8397754064351. The next prime is 8397754064423. The reversal of 8397754064400 is 44604577938.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×8397754064400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6007191 + ... + 7271990.

Almost surely, 2^{8397754064400} is an apocalyptic number.

8397754064400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8397754064400 is an abundant number, since it is smaller than the sum of its proper divisors (21004267085808).

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

8397754064400 is a wasteful number, since it uses less digits than its factorization.

8397754064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13279250 (or 13279239 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 8397754064400 in words is "eight trillion, three hundred ninety-seven billion, seven hundred fifty-four million, sixty-four thousand, four hundred".