6900394752000 has 768 divisors, whose sum is σ = 25565883033600. Its totient is φ = 1836070502400.

The previous prime is 6900394751993. The next prime is 6900394752029. The reversal of 6900394752000 is 2574930096.

It is a happy number.

6900394752000 is a `hidden beast` number, since 6 + 90 + 0 + 39 + 4 + 7 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 4472063229 + ... + 4472064771.

It is an arithmetic number, because the mean of its divisors is an integer number (33288910200).

Almost surely, 2^{6900394752000} is an apocalyptic number.

6900394752000 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 6900394752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12782941516800).

6900394752000 is an abundant number, since it is smaller than the sum of its proper divisors (18665488281600).

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

6900394752000 is a wasteful number, since it uses less digits than its factorization.

6900394752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 6900394752000 in words is "six trillion, nine hundred billion, three hundred ninety-four million, seven hundred fifty-two thousand".