73799754735616 has 1008 divisors, whose sum is σ = 202116289858560. Its totient is φ = 26752187105280.

The previous prime is 73799754735613. The next prime is 73799754735631. The reversal of 73799754735616 is 61653745799737.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73799754735613) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39956552805 + ... + 39956554651.

It is an arithmetic number, because the mean of its divisors is an integer number (200512192320).

Almost surely, 2^{73799754735616} is an apocalyptic number.

73799754735616 is a gapful number since it is divisible by the number (76) 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 73799754735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101058144929280).

73799754735616 is an abundant number, since it is smaller than the sum of its proper divisors (128316535122944).

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

73799754735616 is a wasteful number, since it uses less digits than its factorization.

73799754735616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1919 counting only the distinct ones).

The product of its digits is 6301184400, while the sum is 79.

The spelling of 73799754735616 in words is "seventy-three trillion, seven hundred ninety-nine billion, seven hundred fifty-four million, seven hundred thirty-five thousand, six hundred sixteen".