6136338000 has 320 divisors, whose sum is σ = 21487624704. Its totient is φ = 1497600000.

The previous prime is 6136337993. The next prime is 6136338067. The reversal of 6136338000 is 8336316.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11777740 + ... + 11778260.

Almost surely, 2^6136338000 is an apocalyptic number.

6136338000 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 6136338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743812352).

6136338000 is an abundant number, since it is smaller than the sum of its proper divisors (15351286704).

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

6136338000 is a wasteful number, since it uses less digits than its factorization.

6136338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 6136338000 is about 78334.7815468965. The cubic root of 6136338000 is about 1830.7811171661.

The spelling of 6136338000 in words is "six billion, one hundred thirty-six million, three hundred thirty-eight thousand".