6736199960 has 256 divisors, whose sum is σ = 18942336000. Its totient is φ = 2104565760.

The previous prime is 6736199947. The next prime is 6736199993. The reversal of 6736199960 is 699916376.

It is a super-2 number, since 2×6736199960² = 90752779802208003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 6736199896 and 6736199905.

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, 19412507 + ... + 19412853.

It is an arithmetic number, because the mean of its divisors is an integer number (73993500).

Almost surely, 2^6736199960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6736199960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9471168000).

6736199960 is an abundant number, since it is smaller than the sum of its proper divisors (12206136040).

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

6736199960 is a wasteful number, since it uses less digits than its factorization.

6736199960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 56.

The square root of 6736199960 is about 82074.3562874544. The cubic root of 6736199960 is about 1888.5927731173.

The spelling of 6736199960 in words is "six billion, seven hundred thirty-six million, one hundred ninety-nine thousand, nine hundred sixty".