73753051008 has 512 divisors, whose sum is σ = 248732467200. Its totient is φ = 18847457280.

The previous prime is 73753050929. The next prime is 73753051037. The reversal of 73753051008 is 80015035737.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171120553 + ... + 171120983.

It is an arithmetic number, because the mean of its divisors is an integer number (485805600).

Almost surely, 2^73753051008 is an apocalyptic number.

73753051008 is a gapful number since it is divisible by the number (78) 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 73753051008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124366233600).

73753051008 is an abundant number, since it is smaller than the sum of its proper divisors (174979416192).

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

73753051008 is a wasteful number, since it uses less digits than its factorization.

73753051008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 73753051008 in words is "seventy-three billion, seven hundred fifty-three million, fifty-one thousand, eight".