36561001620720 has 320 divisors, whose sum is σ = 122396512264704. Its totient is φ = 8994858762240.

The previous prime is 36561001620713. The next prime is 36561001620721. The reversal of 36561001620720 is 2702610016563.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36561001620721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48171375 + ... + 48924465.

Almost surely, 2^{36561001620720} is an apocalyptic number.

36561001620720 is a gapful number since it is divisible by the number (30) 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 36561001620720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61198256132352).

36561001620720 is an abundant number, since it is smaller than the sum of its proper divisors (85835510643984).

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

36561001620720 is a wasteful number, since it uses less digits than its factorization.

36561001620720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753360 (or 753354 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 36561001620720 in words is "thirty-six trillion, five hundred sixty-one billion, one million, six hundred twenty thousand, seven hundred twenty".