73801799594952 has 512 divisors, whose sum is σ = 224718597734400. Its totient is φ = 19897029734400.

The previous prime is 73801799594947. The next prime is 73801799594981. The reversal of 73801799594952 is 25949599710837.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10097383074 + ... + 10097390382.

It is an arithmetic number, because the mean of its divisors is an integer number (438903511200).

Almost surely, 2^{73801799594952} 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 73801799594952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112359298867200).

73801799594952 is an abundant number, since it is smaller than the sum of its proper divisors (150916798139448).

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

73801799594952 is a wasteful number, since it uses less digits than its factorization.

73801799594952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 1543147200, while the sum is 78.

The spelling of 73801799594952 in words is "seventy-three trillion, eight hundred one billion, seven hundred ninety-nine million, five hundred ninety-four thousand, nine hundred fifty-two".