6736537632 has 192 divisors, whose sum is σ = 19691320320. Its totient is φ = 1999488000.

The previous prime is 6736537627. The next prime is 6736537649. The reversal of 6736537632 is 2367356376.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13234594 + ... + 13235102.

It is an arithmetic number, because the mean of its divisors is an integer number (102558960).

Almost surely, 2^6736537632 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 6736537632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9845660160).

6736537632 is an abundant number, since it is smaller than the sum of its proper divisors (12954782688).

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

6736537632 is a wasteful number, since it uses less digits than its factorization.

6736537632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 48.

The square root of 6736537632 is about 82076.4133719304. The cubic root of 6736537632 is about 1888.6243296945.

The spelling of 6736537632 in words is "six billion, seven hundred thirty-six million, five hundred thirty-seven thousand, six hundred thirty-two".