6398058393600 has 156 divisors (see below), whose sum is σ = 21153664887576. Its totient is φ = 1706148823040.

The previous prime is 6398058393589. The next prime is 6398058393611. The reversal of 6398058393600 is 63938508936.

It is an interprime number because it is at equal distance from previous prime (6398058393589) and next prime (6398058393611).

It is a super-3 number, since 3×6398058393600³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10106307 + ... + 10720706.

It is an arithmetic number, because the mean of its divisors is an integer number (135600415946).

Almost surely, 2^{6398058393600} is an apocalyptic number.

6398058393600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6398058393600 is an abundant number, since it is smaller than the sum of its proper divisors (14755606493976).

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

6398058393600 is a wasteful number, since it uses less digits than its factorization.

6398058393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20827050 (or 20827023 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 6398058393600 in words is "six trillion, three hundred ninety-eight billion, fifty-eight million, three hundred ninety-three thousand, six hundred".