6138920700 has 432 divisors, whose sum is σ = 22020590592. Its totient is φ = 1416960000.

The previous prime is 6138920699. The next prime is 6138920747. The reversal of 6138920700 is 70298316.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25472580 + ... + 25472820.

Almost surely, 2^6138920700 is an apocalyptic number.

6138920700 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 6138920700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11010295296).

6138920700 is an abundant number, since it is smaller than the sum of its proper divisors (15881669892).

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

6138920700 is a wasteful number, since it uses less digits than its factorization.

6138920700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6138920700 is about 78351.2648270594. The cubic root of 6138920700 is about 1831.0379313105.

The spelling of 6138920700 in words is "six billion, one hundred thirty-eight million, nine hundred twenty thousand, seven hundred".