36749696256 has 648 divisors, whose sum is σ = 133431829440. Its totient is φ = 9523298304.

The previous prime is 36749696251. The next prime is 36749696261. The reversal of 36749696256 is 65269694763.

It is a happy number.

36749696256 is a `hidden beast` number, since 3 + 6 + 7 + 496 + 96 + 2 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (36749696251) and next prime (36749696261).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 36749696193 and 36749696202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36749696251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264386235 + ... + 264386373.

Almost surely, 2^36749696256 is an apocalyptic number.

36749696256 is a gapful number since it is divisible by the number (36) 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 36749696256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66715914720).

36749696256 is an abundant number, since it is smaller than the sum of its proper divisors (96682133184).

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

36749696256 is a wasteful number, since it uses less digits than its factorization.

36749696256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 261 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 63.

The spelling of 36749696256 in words is "thirty-six billion, seven hundred forty-nine million, six hundred ninety-six thousand, two hundred fifty-six".