36813529486272 has 896 divisors, whose sum is σ = 133472553984000. Its totient is φ = 8847885312000.

The previous prime is 36813529486249. The next prime is 36813529486301. The reversal of 36813529486272 is 27268492531863.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 591816772 + ... + 591878972.

It is an arithmetic number, because the mean of its divisors is an integer number (148964904000).

Almost surely, 2^{36813529486272} is an apocalyptic number.

36813529486272 is a gapful number since it is divisible by the number (32) 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 36813529486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66736276992000).

36813529486272 is an abundant number, since it is smaller than the sum of its proper divisors (96659024497728).

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

36813529486272 is a wasteful number, since it uses less digits than its factorization.

36813529486272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62310 (or 62286 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 66.

The spelling of 36813529486272 in words is "thirty-six trillion, eight hundred thirteen billion, five hundred twenty-nine million, four hundred eighty-six thousand, two hundred seventy-two".