7636041216 has 240 divisors, whose sum is σ = 23242396320. Its totient is φ = 2408693760.

The previous prime is 7636041169. The next prime is 7636041227. The reversal of 7636041216 is 6121406367.

It is a happy number.

7636041216 is a `hidden beast` number, since 7 + 636 + 0 + 4 + 1 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11551926 + ... + 11552586.

It is an arithmetic number, because the mean of its divisors is an integer number (96843318).

Almost surely, 2^7636041216 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 7636041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621198160).

7636041216 is an abundant number, since it is smaller than the sum of its proper divisors (15606355104).

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

7636041216 is a wasteful number, since it uses less digits than its factorization.

7636041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7636041216 is about 87384.4449315781. Note that the first 3 decimals coincide. The cubic root of 7636041216 is about 1969.1981599368.

The spelling of 7636041216 in words is "seven billion, six hundred thirty-six million, forty-one thousand, two hundred sixteen".