6370993440 has 720 divisors, whose sum is σ = 27409136832. Its totient is φ = 1370566656.

The previous prime is 6370993439. The next prime is 6370993469. The reversal of 6370993440 is 443990736.

6370993440 is a `hidden beast` number, since 637 + 0 + 9 + 9 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 374764312 + ... + 374764328.

Almost surely, 2^6370993440 is an apocalyptic number.

6370993440 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 6370993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704568416).

6370993440 is an abundant number, since it is smaller than the sum of its proper divisors (21038143392).

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

6370993440 is an frugal number, since it uses more digits than its factorization.

6370993440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 6370993440 is about 79818.5031180114. The cubic root of 6370993440 is about 1853.8263575710.

The spelling of 6370993440 in words is "six billion, three hundred seventy million, nine hundred ninety-three thousand, four hundred forty".