36781215744 has 624 divisors, whose sum is σ = 127172548608. Its totient is φ = 9364045824.

The previous prime is 36781215733. The next prime is 36781215749. The reversal of 36781215744 is 44751218763.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a junction number, because it is equal to n+sod(n) for n = 36781215693 and 36781215702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36781215749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289615809 + ... + 289615935.

Almost surely, 2^36781215744 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 36781215744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63586274304).

36781215744 is an abundant number, since it is smaller than the sum of its proper divisors (90391332864).

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

36781215744 is a wasteful number, since it uses less digits than its factorization.

36781215744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 189 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 36781215744 in words is "thirty-six billion, seven hundred eighty-one million, two hundred fifteen thousand, seven hundred forty-four".