6135989760 has 400 divisors, whose sum is σ = 22245290496. Its totient is φ = 1616412672.

The previous prime is 6135989747. The next prime is 6135989771. The reversal of 6135989760 is 679895316.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6135989697 and 6135989706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26334604 + ... + 26334836.

Almost surely, 2^6135989760 is an apocalyptic number.

6135989760 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 6135989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11122645248).

6135989760 is an abundant number, since it is smaller than the sum of its proper divisors (16109300736).

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

6135989760 is a wasteful number, since it uses less digits than its factorization.

6135989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 6135989760 is about 78332.5587479434. The cubic root of 6135989760 is about 1830.7464839545.

The spelling of 6135989760 in words is "six billion, one hundred thirty-five million, nine hundred eighty-nine thousand, seven hundred sixty".