73145600640 has 1280 divisors, whose sum is σ = 316786377600. Its totient is φ = 15931883520.

The previous prime is 73145600611. The next prime is 73145600653. The reversal of 73145600640 is 4600654137.

It is a happy number.

73145600640 is a `hidden beast` number, since 7 + 3 + 1 + 4 + 5 + 6 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73145600595 and 73145600604.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1701060459 + ... + 1701060501.

Almost surely, 2^73145600640 is an apocalyptic number.

73145600640 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 73145600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158393188800).

73145600640 is an abundant number, since it is smaller than the sum of its proper divisors (243640776960).

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

73145600640 is an equidigital number, since it uses as much as digits as its factorization.

73145600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 73145600640 in words is "seventy-three billion, one hundred forty-five million, six hundred thousand, six hundred forty".