36648998240400 has 2160 divisors, whose sum is σ = 165730900293504. Its totient is φ = 7709034332160.

The previous prime is 36648998240381. The next prime is 36648998240447. The reversal of 36648998240400 is 404289984663.

36648998240400 is a `hidden beast` number, since 3 + 6 + 6 + 489 + 98 + 24 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 26809800517 + ... + 26809801883.

Almost surely, 2^{36648998240400} is an apocalyptic number.

36648998240400 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 36648998240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82865450146752).

36648998240400 is an abundant number, since it is smaller than the sum of its proper divisors (129081902053104).

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

36648998240400 is a wasteful number, since it uses less digits than its factorization.

36648998240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 36648998240400 in words is "thirty-six trillion, six hundred forty-eight billion, nine hundred ninety-eight million, two hundred forty thousand, four hundred".