73364034744000 has 7168 divisors, whose sum is σ = 377298586828800. Its totient is φ = 13638481920000.

The previous prime is 73364034743957. The next prime is 73364034744029. The reversal of 73364034744000 is 44743046337.

73364034744000 is a `hidden beast` number, since 73 + 36 + 40 + 3 + 474 + 40 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 1033296263965 + ... + 1033296264035.

It is an arithmetic number, because the mean of its divisors is an integer number (52636521600).

Almost surely, 2^{73364034744000} is an apocalyptic number.

73364034744000 is a gapful number since it is divisible by the number (70) 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 73364034744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188649293414400).

73364034744000 is an abundant number, since it is smaller than the sum of its proper divisors (303934552084800).

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

73364034744000 is a wasteful number, since it uses less digits than its factorization.

73364034744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 45.

The spelling of 73364034744000 in words is "seventy-three trillion, three hundred sixty-four billion, thirty-four million, seven hundred forty-four thousand".