6138961920 has 896 divisors, whose sum is σ = 27303252480. Its totient is φ = 1274019840.

The previous prime is 6138961897. The next prime is 6138961943. The reversal of 6138961920 is 291698316.

It is a happy number.

6138961920 is a `hidden beast` number, since 6 + 1 + 3 + 8 + 9 + 619 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6138961897) and next prime (6138961943).

It is a tau number, because it is divible by the number of its divisors (896).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100638690 + ... + 100638750.

It is an arithmetic number, because the mean of its divisors is an integer number (30472380).

Almost surely, 2^6138961920 is an apocalyptic number.

6138961920 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 6138961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651626240).

6138961920 is an abundant number, since it is smaller than the sum of its proper divisors (21164290560).

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

6138961920 is a wasteful number, since it uses less digits than its factorization.

6138961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 6138961920 is about 78351.5278727862. The cubic root of 6138961920 is about 1831.0420294910.

The spelling of 6138961920 in words is "six billion, one hundred thirty-eight million, nine hundred sixty-one thousand, nine hundred twenty".