73775826432 has 1120 divisors, whose sum is σ = 293685917184. Its totient is φ = 17915904000.

The previous prime is 73775826419. The next prime is 73775826461. The reversal of 73775826432 is 23462857737.

73775826432 is a `hidden beast` number, since 7 + 377 + 5 + 8 + 264 + 3 + 2 = 666.

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

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 488581557 + ... + 488581707.

Almost surely, 2^73775826432 is an apocalyptic number.

73775826432 is a gapful number since it is divisible by the number (72) 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 73775826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146842958592).

73775826432 is an abundant number, since it is smaller than the sum of its proper divisors (219910090752).

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

73775826432 is a wasteful number, since it uses less digits than its factorization.

73775826432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 191 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 73775826432 in words is "seventy-three billion, seven hundred seventy-five million, eight hundred twenty-six thousand, four hundred thirty-two".