73961930746368 has 480 divisors, whose sum is σ = 253256917769856. Its totient is φ = 21109569159168.

The previous prime is 73961930746339. The next prime is 73961930746399. The reversal of 73961930746368 is 86364703916937.

73961930746368 is a `hidden beast` number, since 7 + 3 + 9 + 6 + 193 + 0 + 74 + 6 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 73961930746296 and 73961930746305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829934580 + ... + 830023692.

Almost surely, 2^{73961930746368} 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 73961930746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126628458884928).

73961930746368 is an abundant number, since it is smaller than the sum of its proper divisors (179294987023488).

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

73961930746368 is an frugal number, since it uses more digits than its factorization.

73961930746368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90106 (or 90078 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 72.

The spelling of 73961930746368 in words is "seventy-three trillion, nine hundred sixty-one billion, nine hundred thirty million, seven hundred forty-six thousand, three hundred sixty-eight".