73475225460 has 288 divisors, whose sum is σ = 286235389440. Its totient is φ = 14828368896.

The previous prime is 73475225449. The next prime is 73475225491. The reversal of 73475225460 is 6452257437.

73475225460 is a `hidden beast` number, since 7 + 34 + 75 + 2 + 2 + 546 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 279226 + ... + 474254.

It is an arithmetic number, because the mean of its divisors is an integer number (993872880).

Almost surely, 2^73475225460 is an apocalyptic number.

73475225460 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 73475225460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143117694720).

73475225460 is an abundant number, since it is smaller than the sum of its proper divisors (212760163980).

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

73475225460 is a wasteful number, since it uses less digits than its factorization.

73475225460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195087 (or 195082 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 73475225460 in words is "seventy-three billion, four hundred seventy-five million, two hundred twenty-five thousand, four hundred sixty".