36776990951040 has 512 divisors, whose sum is σ = 122331137760000. Its totient is φ = 9386448519168.

The previous prime is 36776990950963. The next prime is 36776990951081. The reversal of 36776990951040 is 4015909967763.

It is a happy number.

It is a super-3 number, since 3×36776990951040³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2970911571 + ... + 2970923949.

Almost surely, 2^{36776990951040} is an apocalyptic number.

36776990951040 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 36776990951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61165568880000).

36776990951040 is an abundant number, since it is smaller than the sum of its proper divisors (85554146808960).

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

36776990951040 is a wasteful number, since it uses less digits than its factorization.

36776990951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12892 (or 12880 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 66.

The spelling of 36776990951040 in words is "thirty-six trillion, seven hundred seventy-six billion, nine hundred ninety million, nine hundred fifty-one thousand, forty".