6008596070400 has 2736 divisors, whose sum is σ = 28397061638400. Its totient is φ = 1248539443200.

The previous prime is 6008596070387. The next prime is 6008596070413. The reversal of 6008596070400 is 40706958006.

It is an interprime number because it is at equal distance from previous prime (6008596070387) and next prime (6008596070413).

It is a super-2 number, since 2×6008596070400² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 546236006395 + ... + 546236006405.

Almost surely, 2^{6008596070400} is an apocalyptic number.

6008596070400 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 6008596070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14198530819200).

6008596070400 is an abundant number, since it is smaller than the sum of its proper divisors (22388465568000).

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

6008596070400 is an frugal number, since it uses more digits than its factorization.

6008596070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 6008596070400 in words is "six trillion, eight billion, five hundred ninety-six million, seventy thousand, four hundred".