6002740800 has 1008 divisors, whose sum is σ = 26885993472. Its totient is φ = 1238630400.

The previous prime is 6002740759. The next prime is 6002740801. The reversal of 6002740800 is 80472006.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×6002740800² = 72065794223969280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6002740801) 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, 53121544 + ... + 53121656.

Almost surely, 2^6002740800 is an apocalyptic number.

6002740800 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 6002740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13442996736).

6002740800 is an abundant number, since it is smaller than the sum of its proper divisors (20883252672).

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

6002740800 is a wasteful number, since it uses less digits than its factorization.

6002740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6002740800 is about 77477.3566921330. The cubic root of 6002740800 is about 1817.3972376082.

The spelling of 6002740800 in words is "six billion, two million, seven hundred forty thousand, eight hundred".