6010672800 has 576 divisors, whose sum is σ = 23488496640. Its totient is φ = 1317888000.

The previous prime is 6010672793. The next prime is 6010672831. The reversal of 6010672800 is 82760106.

It is a happy number.

It is a super-2 number, since 2×6010672800² = 72256375017319680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11536540 + ... + 11537060.

It is an arithmetic number, because the mean of its divisors is an integer number (40778640).

Almost surely, 2^6010672800 is an apocalyptic number.

6010672800 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 6010672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11744248320).

6010672800 is an abundant number, since it is smaller than the sum of its proper divisors (17477823840).

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

6010672800 is a wasteful number, since it uses less digits than its factorization.

6010672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 6010672800 is about 77528.5289425770. The cubic root of 6010672800 is about 1818.1973859879.

The spelling of 6010672800 in words is "six billion, ten million, six hundred seventy-two thousand, eight hundred".