6239045606400 has 1056 divisors, whose sum is σ = 23697869429760. Its totient is φ = 1627659878400.

The previous prime is 6239045606357. The next prime is 6239045606471. The reversal of 6239045606400 is 46065409326.

6239045606400 is a `hidden beast` number, since 6 + 2 + 39 + 0 + 4 + 5 + 606 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2631397215 + ... + 2631399585.

Almost surely, 2^{6239045606400} is an apocalyptic number.

6239045606400 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 6239045606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848934714880).

6239045606400 is an abundant number, since it is smaller than the sum of its proper divisors (17458823823360).

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

6239045606400 is an equidigital number, since it uses as much as digits as its factorization.

6239045606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 6239045606400 in words is "six trillion, two hundred thirty-nine billion, forty-five million, six hundred six thousand, four hundred".