6738052723200 has 180 divisors, whose sum is σ = 24113631125298. Its totient is φ = 1796814028800.

The previous prime is 6738052723189. The next prime is 6738052723271. The reversal of 6738052723200 is 23272508376.

6738052723200 is a `hidden beast` number, since 6 + 7 + 3 + 80 + 527 + 23 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5831413588224 + 906639134976 = 2414832^2 + 952176^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29129821 + ... + 29360220.

Almost surely, 2^{6738052723200} is an apocalyptic number.

6738052723200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6738052723200 is an abundant number, since it is smaller than the sum of its proper divisors (17375578402098).

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

6738052723200 is a wasteful number, since it uses less digits than its factorization.

6738052723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58490075 (or 58490051 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 6738052723200 in words is "six trillion, seven hundred thirty-eight billion, fifty-two million, seven hundred twenty-three thousand, two hundred".