73501680000 has 640 divisors, whose sum is σ = 283418277120. Its totient is φ = 16524288000.

The previous prime is 73501679963. The next prime is 73501680053. The reversal of 73501680000 is 8610537.

It is a tau number, because it is divible by the number of its divisors (640).

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 73501680000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 112559674 + ... + 112560326.

It is an arithmetic number, because the mean of its divisors is an integer number (442841058).

Almost surely, 2^73501680000 is an apocalyptic number.

73501680000 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 73501680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141709138560).

73501680000 is an abundant number, since it is smaller than the sum of its proper divisors (209916597120).

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

73501680000 is an equidigital number, since it uses as much as digits as its factorization.

73501680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 73501680000 in words is "seventy-three billion, five hundred one million, six hundred eighty thousand".