73623147264 has 360 divisors, whose sum is σ = 228646091520. Its totient is φ = 23533977600.

The previous prime is 73623147233. The next prime is 73623147281. The reversal of 73623147264 is 46274132637.

73623147264 is a `hidden beast` number, since 7 + 3 + 623 + 14 + 7 + 2 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114856384 + ... + 114857024.

It is an arithmetic number, because the mean of its divisors is an integer number (635128032).

Almost surely, 2^73623147264 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 73623147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114323045760).

73623147264 is an abundant number, since it is smaller than the sum of its proper divisors (155022944256).

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

73623147264 is a wasteful number, since it uses less digits than its factorization.

73623147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 866 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The spelling of 73623147264 in words is "seventy-three billion, six hundred twenty-three million, one hundred forty-seven thousand, two hundred sixty-four".