73965067920 has 320 divisors, whose sum is σ = 259363399680. Its totient is φ = 19370534400.

The previous prime is 73965067901. The next prime is 73965067973. The reversal of 73965067920 is 2976056937.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47080735 + ... + 47082305.

It is an arithmetic number, because the mean of its divisors is an integer number (810510624).

Almost surely, 2^73965067920 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 73965067920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129681699840).

73965067920 is an abundant number, since it is smaller than the sum of its proper divisors (185398331760).

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

73965067920 is a wasteful number, since it uses less digits than its factorization.

73965067920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 73965067920 in words is "seventy-three billion, nine hundred sixty-five million, sixty-seven thousand, nine hundred twenty".