6153342854400 has 1296 divisors, whose sum is σ = 26368649798400. Its totient is φ = 1399992975360.

The previous prime is 6153342854387. The next prime is 6153342854401. The reversal of 6153342854400 is 44582433516.

6153342854400 is a `hidden beast` number, since 6 + 1 + 53 + 34 + 28 + 544 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6153342854401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1972856041 + ... + 1972859159.

It is an arithmetic number, because the mean of its divisors is an integer number (20346180400).

Almost surely, 2^{6153342854400} is an apocalyptic number.

6153342854400 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 6153342854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13184324899200).

6153342854400 is an abundant number, since it is smaller than the sum of its proper divisors (20215306944000).

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

6153342854400 is a wasteful number, since it uses less digits than its factorization.

6153342854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 6153342854400 in words is "six trillion, one hundred fifty-three billion, three hundred forty-two million, eight hundred fifty-four thousand, four hundred".