73090829812 has 288 divisors, whose sum is σ = 179168492160. Its totient is φ = 25639649280.

The previous prime is 73090829771. The next prime is 73090829813. The reversal of 73090829812 is 21892809037.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73090829813) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284399988 + ... + 284400244.

It is an arithmetic number, because the mean of its divisors is an integer number (622112820).

Almost surely, 2^73090829812 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 73090829812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89584246080).

73090829812 is an abundant number, since it is smaller than the sum of its proper divisors (106077662348).

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

73090829812 is a wasteful number, since it uses less digits than its factorization.

73090829812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 73090829812 in words is "seventy-three billion, ninety million, eight hundred twenty-nine thousand, eight hundred twelve".