364725746000 has 640 divisors, whose sum is σ = 1125133701120. Its totient is φ = 111072000000.

The previous prime is 364725745973. The next prime is 364725746003. The reversal of 364725746000 is 647527463.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364725746003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2037573911 + ... + 2037574089.

It is an arithmetic number, because the mean of its divisors is an integer number (1758021408).

Almost surely, 2^364725746000 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 364725746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562566850560).

364725746000 is an abundant number, since it is smaller than the sum of its proper divisors (760407955120).

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

364725746000 is a wasteful number, since it uses less digits than its factorization.

364725746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 44.

The spelling of 364725746000 in words is "three hundred sixty-four billion, seven hundred twenty-five million, seven hundred forty-six thousand".