6542702899200 has 1248 divisors, whose sum is σ = 26781149438400. Its totient is φ = 1554728878080.

The previous prime is 6542702899177. The next prime is 6542702899207. The reversal of 6542702899200 is 29982072456.

6542702899200 is a `hidden beast` number, since 6 + 5 + 4 + 270 + 289 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×6542702899200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6542702899207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1042326462 + ... + 1042332738.

Almost surely, 2^{6542702899200} is an apocalyptic number.

6542702899200 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 6542702899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390574719200).

6542702899200 is an abundant number, since it is smaller than the sum of its proper divisors (20238446539200).

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

6542702899200 is a wasteful number, since it uses less digits than its factorization.

6542702899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 6542702899200 in words is "six trillion, five hundred forty-two billion, seven hundred two million, eight hundred ninety-nine thousand, two hundred".