36908903216640 has 2560 divisors, whose sum is σ = 158412036980736. Its totient is φ = 7110729400320.

The previous prime is 36908903216621. The next prime is 36908903216651. The reversal of 36908903216640 is 4661230980963.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87669603630 + ... + 87669604050.

Almost surely, 2^{36908903216640} is an apocalyptic number.

36908903216640 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 36908903216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79206018490368).

36908903216640 is an abundant number, since it is smaller than the sum of its proper divisors (121503133764096).

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

36908903216640 is a wasteful number, since it uses less digits than its factorization.

36908903216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 36908903216640 in words is "thirty-six trillion, nine hundred eight billion, nine hundred three million, two hundred sixteen thousand, six hundred forty".