73525647360 has 384 divisors, whose sum is σ = 271724544000. Its totient is φ = 16774594560.

The previous prime is 73525647331. The next prime is 73525647361. The reversal of 73525647360 is 6374652537.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73525647361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5738241 + ... + 5751039.

It is an arithmetic number, because the mean of its divisors is an integer number (707616000).

Almost surely, 2^73525647360 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 73525647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272000).

73525647360 is an abundant number, since it is smaller than the sum of its proper divisors (198198896640).

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

73525647360 is a wasteful number, since it uses less digits than its factorization.

73525647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12857 (or 12837 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 48.

The spelling of 73525647360 in words is "seventy-three billion, five hundred twenty-five million, six hundred forty-seven thousand, three hundred sixty".