73640640637200 has 480 divisors, whose sum is σ = 290558740550400. Its totient is φ = 15525282447360.

The previous prime is 73640640637171. The next prime is 73640640637211. The reversal of 73640640637200 is 273604604637.

73640640637200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 73640640637200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140497216 + ... + 141020384.

It is an arithmetic number, because the mean of its divisors is an integer number (605330709480).

Almost surely, 2^{73640640637200} is an apocalyptic number.

73640640637200 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 73640640637200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145279370275200).

73640640637200 is an abundant number, since it is smaller than the sum of its proper divisors (216918099913200).

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

73640640637200 is a wasteful number, since it uses less digits than its factorization.

73640640637200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524499 (or 524488 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 48.

The spelling of 73640640637200 in words is "seventy-three trillion, six hundred forty billion, six hundred forty million, six hundred thirty-seven thousand, two hundred".