6180802924800 has 432 divisors, whose sum is σ = 23787707350400. Its totient is φ = 1412753448960.

The previous prime is 6180802924799. The next prime is 6180802924811. The reversal of 6180802924800 is 84292080816.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6180802924800.

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, 6116334 + ... + 7054866.

Almost surely, 2^{6180802924800} is an apocalyptic number.

6180802924800 is a gapful number since it is divisible by the number (60) 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 6180802924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11893853675200).

6180802924800 is an abundant number, since it is smaller than the sum of its proper divisors (17606904425600).

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

6180802924800 is an equidigital number, since it uses as much as digits as its factorization.

6180802924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938583 (or 938550 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 6180802924800 in words is "six trillion, one hundred eighty billion, eight hundred two million, nine hundred twenty-four thousand, eight hundred".