36707320011648 has 1152 divisors, whose sum is σ = 119114291046240. Its totient is φ = 9999923281920.

The previous prime is 36707320011643. The next prime is 36707320011737. The reversal of 36707320011648 is 84611002370763.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 = 36707320011597 and 36707320011606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36707320011643) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80322363036 + ... + 80322363492.

Almost surely, 2^{36707320011648} 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 36707320011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59557145523120).

36707320011648 is an abundant number, since it is smaller than the sum of its proper divisors (82406971034592).

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

36707320011648 is a wasteful number, since it uses less digits than its factorization.

36707320011648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 36707320011648 in words is "thirty-six trillion, seven hundred seven billion, three hundred twenty million, eleven thousand, six hundred forty-eight".