6255154764000 has 576 divisors, whose sum is σ = 22643689356288. Its totient is φ = 1634740224000.

The previous prime is 6255154763987. The next prime is 6255154764031. The reversal of 6255154764000 is 4674515526.

6255154764000 is a `hidden beast` number, since 6 + 2 + 551 + 54 + 7 + 6 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×6255154764000² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2963122945 + ... + 2963125055.

It is an arithmetic number, because the mean of its divisors is an integer number (39311960688).

Almost surely, 2^{6255154764000} is an apocalyptic number.

6255154764000 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 6255154764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321844678144).

6255154764000 is an abundant number, since it is smaller than the sum of its proper divisors (16388534592288).

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

6255154764000 is a wasteful number, since it uses less digits than its factorization.

6255154764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 6255154764000 in words is "six trillion, two hundred fifty-five billion, one hundred fifty-four million, seven hundred sixty-four thousand".