36491749568820 has 1152 divisors, whose sum is σ = 148479247687680. Its totient is φ = 7043951185920.

The previous prime is 36491749568819. The next prime is 36491749568837. The reversal of 36491749568820 is 2886594719463.

36491749568820 is a `hidden beast` number, since 3 + 6 + 4 + 9 + 17 + 49 + 568 + 8 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 822401235 + ... + 822445605.

It is an arithmetic number, because the mean of its divisors is an integer number (128888235840).

It is a 1-persistent number, because it is pandigital, but 2⋅36491749568820 = 72983499137640 is not.

Almost surely, 2^{36491749568820} is an apocalyptic number.

36491749568820 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 36491749568820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74239623843840).

36491749568820 is an abundant number, since it is smaller than the sum of its proper divisors (111987498118860).

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

36491749568820 is a wasteful number, since it uses less digits than its factorization.

36491749568820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44525 (or 44520 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 36491749568820 in words is "thirty-six trillion, four hundred ninety-one billion, seven hundred forty-nine million, five hundred sixty-eight thousand, eight hundred twenty".