73894294830720 has 1536 divisors, whose sum is σ = 303074033875200. Its totient is φ = 15170001960960.

The previous prime is 73894294830689. The next prime is 73894294830739. The reversal of 73894294830720 is 2703849249837.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21010602402 + ... + 21010605918.

Almost surely, 2^{73894294830720} is an apocalyptic number.

73894294830720 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 73894294830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151537016937600).

73894294830720 is an abundant number, since it is smaller than the sum of its proper divisors (229179739044480).

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

73894294830720 is a wasteful number, since it uses less digits than its factorization.

73894294830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 73894294830720 in words is "seventy-three trillion, eight hundred ninety-four billion, two hundred ninety-four million, eight hundred thirty thousand, seven hundred twenty".