73346625440 has 96 divisors (see below), whose sum is σ = 189093574656. Its totient is φ = 26663132160.

The previous prime is 73346625431. The next prime is 73346625461. The reversal of 73346625440 is 4452664337.

It is a hoax number, since the sum of its digits (44) 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 (44).

It is a junction number, because it is equal to n+sod(n) for n = 73346625391 and 73346625400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9681494 + ... + 9689066.

It is an arithmetic number, because the mean of its divisors is an integer number (1969724736).

Almost surely, 2^73346625440 is an apocalyptic number.

It is an amenable number.

73346625440 is an abundant number, since it is smaller than the sum of its proper divisors (115746949216).

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

73346625440 is a wasteful number, since it uses less digits than its factorization.

73346625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13102 (or 13094 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 44.

The spelling of 73346625440 in words is "seventy-three billion, three hundred forty-six million, six hundred twenty-five thousand, four hundred forty".