6445630598400 has 1944 divisors, whose sum is σ = 28491664166784. Its totient is φ = 1436656435200.

The previous prime is 6445630598369. The next prime is 6445630598413. The reversal of 6445630598400 is 48950365446.

6445630598400 is a `hidden beast` number, since 6 + 4 + 4 + 5 + 6 + 3 + 0 + 598 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×6445630598400² (a number of 26 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 3124395769 + ... + 3124397831.

Almost surely, 2^{6445630598400} is an apocalyptic number.

6445630598400 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 6445630598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14245832083392).

6445630598400 is an abundant number, since it is smaller than the sum of its proper divisors (22046033568384).

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

6445630598400 is a wasteful number, since it uses less digits than its factorization.

6445630598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 6445630598400 in words is "six trillion, four hundred forty-five billion, six hundred thirty million, five hundred ninety-eight thousand, four hundred".