36746422400 has 96 divisors (see below), whose sum is σ = 90833667300. Its totient is φ = 14689095680.

The previous prime is 36746422399. The next prime is 36746422417. The reversal of 36746422400 is 422464763.

It can be written as a sum of positive squares in 6 ways, for example, as 30563430976 + 6182991424 = 174824^2 + 78632^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7079006 + ... + 7084194.

Almost surely, 2^36746422400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36746422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45416833650).

36746422400 is an abundant number, since it is smaller than the sum of its proper divisors (54087244900).

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

36746422400 is a wasteful number, since it uses less digits than its factorization.

36746422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 7409 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The spelling of 36746422400 in words is "thirty-six billion, seven hundred forty-six million, four hundred twenty-two thousand, four hundred".