36725222252763 has 256 divisors, whose sum is σ = 64903348224000. Its totient is φ = 20269120665600.

The previous prime is 36725222252759. The next prime is 36725222252791.

It is a happy number.

36725222252763 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 52 + 2 + 2 + 2 + 527 + 63 = 666.

36725222252763 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 36725222252763 - 2² = 36725222252759 is a prime.

It is a super-2 number, since 2×36725222252763² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36725222251763) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35346700398 + ... + 35346701436.

It is an arithmetic number, because the mean of its divisors is an integer number (253528704000).

Almost surely, 2^{36725222252763} is an apocalyptic number.

36725222252763 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

36725222252763 is a deficient number, since it is larger than the sum of its proper divisors (28178125971237).

36725222252763 is a wasteful number, since it uses less digits than its factorization.

36725222252763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1977 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 36725222252763 in words is "thirty-six trillion, seven hundred twenty-five billion, two hundred twenty-two million, two hundred fifty-two thousand, seven hundred sixty-three".