73748504681280 has 672 divisors, whose sum is σ = 298214424144000. Its totient is φ = 16491897077760.

The previous prime is 73748504681263. The next prime is 73748504681333. The reversal of 73748504681280 is 8218640584737.

It is a happy number.

73748504681280 is a `hidden beast` number, since 7 + 3 + 7 + 4 + 85 + 0 + 468 + 12 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 610698346 + ... + 610819094.

It is an arithmetic number, because the mean of its divisors is an integer number (443771464500).

Almost surely, 2^{73748504681280} 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 73748504681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149107212072000).

73748504681280 is an abundant number, since it is smaller than the sum of its proper divisors (224465919462720).

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

73748504681280 is a wasteful number, since it uses less digits than its factorization.

73748504681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122279 (or 122266 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 73748504681280 in words is "seventy-three trillion, seven hundred forty-eight billion, five hundred four million, six hundred eighty-one thousand, two hundred eighty".