73409970816 has 640 divisors, whose sum is σ = 278257795200. Its totient is φ = 18686287872.

The previous prime is 73409970727. The next prime is 73409970833. The reversal of 73409970816 is 61807990437.

It is a happy number.

73409970816 is a `hidden beast` number, since 73 + 409 + 97 + 0 + 81 + 6 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 27359811 + ... + 27362493.

It is an arithmetic number, because the mean of its divisors is an integer number (434777805).

Almost surely, 2^73409970816 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 73409970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139128897600).

73409970816 is an abundant number, since it is smaller than the sum of its proper divisors (204847824384).

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

73409970816 is a wasteful number, since it uses less digits than its factorization.

73409970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 73409970816 in words is "seventy-three billion, four hundred nine million, nine hundred seventy thousand, eight hundred sixteen".