6445972008000 has 896 divisors, whose sum is σ = 28618063119360. Its totient is φ = 1386690969600.

The previous prime is 6445972007971. The next prime is 6445972008061. The reversal of 6445972008000 is 8002795446.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25578612 + ... + 25829388.

Almost surely, 2^{6445972008000} is an apocalyptic number.

6445972008000 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 6445972008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309031559680).

6445972008000 is an abundant number, since it is smaller than the sum of its proper divisors (22172091111360).

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

6445972008000 is a wasteful number, since it uses less digits than its factorization.

6445972008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250837 (or 250811 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 6445972008000 in words is "six trillion, four hundred forty-five billion, nine hundred seventy-two million, eight thousand".