36661217252400 has 1800 divisors, whose sum is σ = 145796392272960. Its totient is φ = 8852348943360.

The previous prime is 36661217252393. The next prime is 36661217252557. The reversal of 36661217252400 is 425271216663.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 78503676967 + ... + 78503677433.

Almost surely, 2^{36661217252400} is an apocalyptic number.

36661217252400 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 36661217252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72898196136480).

36661217252400 is an abundant number, since it is smaller than the sum of its proper divisors (109135175020560).

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

36661217252400 is an equidigital number, since it uses as much as digits as its factorization.

36661217252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 36661217252400 in words is "thirty-six trillion, six hundred sixty-one billion, two hundred seventeen million, two hundred fifty-two thousand, four hundred".