6380044070400 has 2880 divisors, whose sum is σ = 31193024518656. Its totient is φ = 1202356224000.

The previous prime is 6380044070399. The next prime is 6380044070453. The reversal of 6380044070400 is 40704400836.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7034226747 + ... + 7034227653.

Almost surely, 2^{6380044070400} is an apocalyptic number.

6380044070400 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 6380044070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15596512259328).

6380044070400 is an abundant number, since it is smaller than the sum of its proper divisors (24812980448256).

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

6380044070400 is a wasteful number, since it uses less digits than its factorization.

6380044070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 6380044070400 in words is "six trillion, three hundred eighty billion, forty-four million, seventy thousand, four hundred".