73623545292960 has 432 divisors, whose sum is σ = 272205010310688. Its totient is φ = 18112603392000.

The previous prime is 73623545292959. The next prime is 73623545292967. The reversal of 73623545292960 is 6929254532637.

It is a happy number.

73623545292960 is a `hidden beast` number, since 7 + 3 + 6 + 2 + 3 + 5 + 452 + 92 + 96 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (73623545292967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 440641435 + ... + 440808485.

It is an arithmetic number, because the mean of its divisors is an integer number (630104190534).

Almost surely, 2^{73623545292960} 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 73623545292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136102505155344).

73623545292960 is an abundant number, since it is smaller than the sum of its proper divisors (198581465017728).

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

73623545292960 is a wasteful number, since it uses less digits than its factorization.

73623545292960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168909 (or 168885 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 73623545292960 in words is "seventy-three trillion, six hundred twenty-three billion, five hundred forty-five million, two hundred ninety-two thousand, nine hundred sixty".