73468459200 has 168 divisors, whose sum is σ = 242103200832. Its totient is φ = 19504993280.

The previous prime is 73468459193. The next prime is 73468459279. The reversal of 73468459200 is 295486437.

It is a super-2 number, since 2×73468459200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73468459200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1055887 + ... + 1123313.

Almost surely, 2^73468459200 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 73468459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121051600416).

73468459200 is an abundant number, since it is smaller than the sum of its proper divisors (168634741632).

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

73468459200 is a wasteful number, since it uses less digits than its factorization.

73468459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67679 (or 67664 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 73468459200 in words is "seventy-three billion, four hundred sixty-eight million, four hundred fifty-nine thousand, two hundred".