73747268352 has 216 divisors, whose sum is σ = 218321078976. Its totient is φ = 23930339328.

The previous prime is 73747268347. The next prime is 73747268443. The reversal of 73747268352 is 25386274737.

73747268352 is a `hidden beast` number, since 7 + 374 + 7 + 268 + 3 + 5 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 21331008 + ... + 21334464.

It is an arithmetic number, because the mean of its divisors is an integer number (1010745736).

Almost surely, 2^73747268352 is an apocalyptic number.

73747268352 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 73747268352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109160539488).

73747268352 is an abundant number, since it is smaller than the sum of its proper divisors (144573810624).

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

73747268352 is a wasteful number, since it uses less digits than its factorization.

73747268352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3706 counting only the distinct ones).

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

The spelling of 73747268352 in words is "seventy-three billion, seven hundred forty-seven million, two hundred sixty-eight thousand, three hundred fifty-two".