6072149698560 has 2304 divisors, whose sum is σ = 25692829344000. Its totient is φ = 1354707763200.

The previous prime is 6072149698553. The next prime is 6072149698583. The reversal of 6072149698560 is 658969412706.

6072149698560 is a `hidden beast` number, since 6 + 0 + 7 + 2 + 1 + 4 + 9 + 69 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26060728204 + ... + 26060728436.

It is an arithmetic number, because the mean of its divisors is an integer number (11151401625).

Almost surely, 2^{6072149698560} is an apocalyptic number.

6072149698560 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 6072149698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12846414672000).

6072149698560 is an abundant number, since it is smaller than the sum of its proper divisors (19620679645440).

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

6072149698560 is a wasteful number, since it uses less digits than its factorization.

6072149698560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 6072149698560 in words is "six trillion, seventy-two billion, one hundred forty-nine million, six hundred ninety-eight thousand, five hundred sixty".