73097549280 has 1728 divisors, whose sum is σ = 332595087552. Its totient is φ = 15049359360.

The previous prime is 73097549269. The next prime is 73097549281. The reversal of 73097549280 is 8294579037.

73097549280 is a `hidden beast` number, since 7 + 3 + 0 + 9 + 75 + 492 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73097549281) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1198320450 + ... + 1198320510.

It is an arithmetic number, because the mean of its divisors is an integer number (192474009).

Almost surely, 2^73097549280 is an apocalyptic number.

73097549280 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 73097549280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166297543776).

73097549280 is an abundant number, since it is smaller than the sum of its proper divisors (259497538272).

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

73097549280 is a wasteful number, since it uses less digits than its factorization.

73097549280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 73097549280 in words is "seventy-three billion, ninety-seven million, five hundred forty-nine thousand, two hundred eighty".