6134750294400 has 2592 divisors, whose sum is σ = 28556527287600. Its totient is φ = 1248322682880.

The previous prime is 6134750294383. The next prime is 6134750294411. The reversal of 6134750294400 is 44920574316.

6134750294400 is a `hidden beast` number, since 6 + 13 + 4 + 7 + 502 + 94 + 40 + 0 = 666.

It is a super-2 number, since 2×6134750294400² (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 (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 6916290757 + ... + 6916291643.

Almost surely, 2^{6134750294400} is an apocalyptic number.

6134750294400 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 6134750294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14278263643800).

6134750294400 is an abundant number, since it is smaller than the sum of its proper divisors (22421776993200).

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

6134750294400 is a wasteful number, since it uses less digits than its factorization.

6134750294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6134750294400 in words is "six trillion, one hundred thirty-four billion, seven hundred fifty million, two hundred ninety-four thousand, four hundred".