6387365052000 has 2304 divisors, whose sum is σ = 27175850956800. Its totient is φ = 1449230745600.

The previous prime is 6387365051989. The next prime is 6387365052043. The reversal of 6387365052000 is 2505637836.

6387365052000 is a `hidden beast` number, since 6 + 3 + 8 + 73 + 6 + 50 + 520 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 15244307791 + ... + 15244308209.

It is an arithmetic number, because the mean of its divisors is an integer number (11795074200).

Almost surely, 2^{6387365052000} is an apocalyptic number.

6387365052000 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 6387365052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13587925478400).

6387365052000 is an abundant number, since it is smaller than the sum of its proper divisors (20788485904800).

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

6387365052000 is a wasteful number, since it uses less digits than its factorization.

6387365052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 6387365052000 in words is "six trillion, three hundred eighty-seven billion, three hundred sixty-five million, fifty-two thousand".