73032960000 has 1920 divisors, whose sum is σ = 343869926400. Its totient is φ = 13271040000.

The previous prime is 73032959983. The next prime is 73032960017. The reversal of 73032960000 is 6923037.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73032959983) and next prime (73032960017).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 73032960000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3843839991 + ... + 3843840009.

It is an arithmetic number, because the mean of its divisors is an integer number (179098920).

Almost surely, 2^73032960000 is an apocalyptic number.

73032960000 is a gapful number since it is divisible by the number (70) 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 73032960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171934963200).

73032960000 is an abundant number, since it is smaller than the sum of its proper divisors (270836966400).

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

73032960000 is a wasteful number, since it uses less digits than its factorization.

73032960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The spelling of 73032960000 in words is "seventy-three billion, thirty-two million, nine hundred sixty thousand".