73946050500 has 384 divisors, whose sum is σ = 253722792960. Its totient is φ = 16385740800.

The previous prime is 73946050483. The next prime is 73946050531. The reversal of 73946050500 is 505064937.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49527754 + ... + 49529246.

It is an arithmetic number, because the mean of its divisors is an integer number (660736440).

Almost surely, 2^73946050500 is an apocalyptic number.

73946050500 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 73946050500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126861396480).

73946050500 is an abundant number, since it is smaller than the sum of its proper divisors (179776742460).

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

73946050500 is a wasteful number, since it uses less digits than its factorization.

73946050500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 73946050500 in words is "seventy-three billion, nine hundred forty-six million, fifty thousand, five hundred".