8490847206400 has 528 divisors, whose sum is σ = 23008086763200. Its totient is φ = 3088058941440.

The previous prime is 8490847206379. The next prime is 8490847206421. The reversal of 8490847206400 is 46027480948.

It is an interprime number because it is at equal distance from previous prime (8490847206379) and next prime (8490847206421).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13002828474 + ... + 13002829126.

It is an arithmetic number, because the mean of its divisors is an integer number (43575921900).

Almost surely, 2^{8490847206400} is an apocalyptic number.

8490847206400 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 8490847206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11504043381600).

8490847206400 is an abundant number, since it is smaller than the sum of its proper divisors (14517239556800).

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

8490847206400 is a wasteful number, since it uses less digits than its factorization.

8490847206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 8490847206400 in words is "eight trillion, four hundred ninety billion, eight hundred forty-seven million, two hundred six thousand, four hundred".