36536828997600 has 576 divisors, whose sum is σ = 135760323283200. Its totient is φ = 9476515399680.

The previous prime is 36536828997583. The next prime is 36536828997619. The reversal of 36536828997600 is 679982863563.

36536828997600 is a `hidden beast` number, since 3 + 6 + 5 + 3 + 6 + 8 + 2 + 8 + 9 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2988202687 + ... + 2988214913.

It is an arithmetic number, because the mean of its divisors is an integer number (235695005700).

Almost surely, 2^{36536828997600} is an apocalyptic number.

36536828997600 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 36536828997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67880161641600).

36536828997600 is an abundant number, since it is smaller than the sum of its proper divisors (99223494285600).

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

36536828997600 is a wasteful number, since it uses less digits than its factorization.

36536828997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16032 (or 16013 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 36536828997600 in words is "thirty-six trillion, five hundred thirty-six billion, eight hundred twenty-eight million, nine hundred ninety-seven thousand, six hundred".