73976430720 has 128 divisors (see below), whose sum is σ = 236840034240. Its totient is φ = 19640029184.

The previous prime is 73976430701. The next prime is 73976430743. The reversal of 73976430720 is 2703467937.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 73976430720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350974 + ... + 520706.

Almost surely, 2^73976430720 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 73976430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118420017120).

73976430720 is an abundant number, since it is smaller than the sum of its proper divisors (162863603520).

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

73976430720 is a wasteful number, since it uses less digits than its factorization.

73976430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169982 (or 169970 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 48.

The spelling of 73976430720 in words is "seventy-three billion, nine hundred seventy-six million, four hundred thirty thousand, seven hundred twenty".