73629979776 has 224 divisors, whose sum is σ = 220716638220. Its totient is φ = 24455208960.

The previous prime is 73629979723. The next prime is 73629979823. The reversal of 73629979776 is 67797992637.

It can be written as a sum of positive squares in 2 ways, for example, as 40787841600 + 32842138176 = 201960^2 + 181224^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29205396 + ... + 29207916.

Almost surely, 2^73629979776 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 73629979776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110358319110).

73629979776 is an abundant number, since it is smaller than the sum of its proper divisors (147086658444).

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

73629979776 is an equidigital number, since it uses as much as digits as its factorization.

73629979776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2839 counting only the distinct ones).

The product of its digits is 378071064, while the sum is 72.

The spelling of 73629979776 in words is "seventy-three billion, six hundred twenty-nine million, nine hundred seventy-nine thousand, seven hundred seventy-six".