36763211721600 has 2304 divisors, whose sum is σ = 167949250560000. Its totient is φ = 7449910640640.

The previous prime is 36763211721589. The next prime is 36763211721617. The reversal of 36763211721600 is 612711236763.

36763211721600 is a `hidden beast` number, since 3 + 6 + 7 + 6 + 3 + 2 + 1 + 17 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7660596001 + ... + 7660600799.

It is an arithmetic number, because the mean of its divisors is an integer number (72894640000).

Almost surely, 2^{36763211721600} is an apocalyptic number.

36763211721600 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 36763211721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83974625280000).

36763211721600 is an abundant number, since it is smaller than the sum of its proper divisors (131186038838400).

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

36763211721600 is a wasteful number, since it uses less digits than its factorization.

36763211721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4965 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

It can be divided in two parts, 36763211 and 721600, that added together give a triangular number (37484811 = T₈₆₅₈).

The spelling of 36763211721600 in words is "thirty-six trillion, seven hundred sixty-three billion, two hundred eleven million, seven hundred twenty-one thousand, six hundred".