6147560491800 has 2304 divisors, whose sum is σ = 26499883898880. Its totient is φ = 1163280384000.

The previous prime is 6147560491781. The next prime is 6147560491823. The reversal of 6147560491800 is 81940657416.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12520489555 + ... + 12520490045.

It is an arithmetic number, because the mean of its divisors is an integer number (11501685720).

Almost surely, 2^{6147560491800} is an apocalyptic number.

6147560491800 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 6147560491800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249941949440).

6147560491800 is an abundant number, since it is smaller than the sum of its proper divisors (20352323407080).

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

6147560491800 is a wasteful number, since it uses less digits than its factorization.

6147560491800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 6147560491800 in words is "six trillion, one hundred forty-seven billion, five hundred sixty million, four hundred ninety-one thousand, eight hundred".