6400373652000 has 384 divisors, whose sum is σ = 23592294835200. Its totient is φ = 1685159424000.

The previous prime is 6400373651989. The next prime is 6400373652041. The reversal of 6400373652000 is 2563730046.

6400373652000 is a `hidden beast` number, since 64 + 0 + 0 + 3 + 73 + 6 + 520 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8156920 + ... + 8907080.

It is an arithmetic number, because the mean of its divisors is an integer number (61438267800).

Almost surely, 2^{6400373652000} is an apocalyptic number.

6400373652000 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 6400373652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796147417600).

6400373652000 is an abundant number, since it is smaller than the sum of its proper divisors (17191921183200).

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

6400373652000 is a wasteful number, since it uses less digits than its factorization.

6400373652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750274 (or 750250 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 6400373652000 in words is "six trillion, four hundred billion, three hundred seventy-three million, six hundred fifty-two thousand".