73960653312 has 960 divisors, whose sum is σ = 282915642240. Its totient is φ = 18895306752.

The previous prime is 73960653307. The next prime is 73960653341. The reversal of 73960653312 is 21335606937.

73960653312 is a `hidden beast` number, since 7 + 3 + 9 + 606 + 5 + 3 + 31 + 2 = 666.

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, 325817743 + ... + 325817969.

It is an arithmetic number, because the mean of its divisors is an integer number (294703794).

Almost surely, 2^73960653312 is an apocalyptic number.

73960653312 is a gapful number since it is divisible by the number (72) 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 73960653312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141457821120).

73960653312 is an abundant number, since it is smaller than the sum of its proper divisors (208954988928).

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

73960653312 is a wasteful number, since it uses less digits than its factorization.

73960653312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 73960653312 in words is "seventy-three billion, nine hundred sixty million, six hundred fifty-three thousand, three hundred twelve".