6736799160 has 640 divisors, whose sum is σ = 28340484480. Its totient is φ = 1397440512.

The previous prime is 6736799137. The next prime is 6736799177. The reversal of 6736799160 is 619976376.

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 = 6736799097 and 6736799106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21523164 + ... + 21523476.

It is an arithmetic number, because the mean of its divisors is an integer number (44282007).

Almost surely, 2^6736799160 is an apocalyptic number.

6736799160 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 6736799160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170242240).

6736799160 is an abundant number, since it is smaller than the sum of its proper divisors (21603685320).

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

6736799160 is a wasteful number, since it uses less digits than its factorization.

6736799160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 6736799160 is about 82078.0065547404. The cubic root of 6736799160 is about 1888.6487696358.

The spelling of 6736799160 in words is "six billion, seven hundred thirty-six million, seven hundred ninety-nine thousand, one hundred sixty".