10073735424 has 405 divisors, whose sum is σ = 32706187591. Its totient is φ = 3083304960.

The previous prime is 10073735411. The next prime is 10073735429. The reversal of 10073735424 is 42453737001.

The square root of 10073735424 is 100368.

It is a perfect power (a square), and thus also a powerful number.

10073735424 is a `hidden beast` number, since 100 + 7 + 3 + 7 + 3 + 542 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 709689600 + 9364045824 = 26640^2 + 96768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10073735429) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 245700844 + ... + 245700884.

Almost surely, 2^10073735424 is an apocalyptic number.

10073735424 is the 100368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10073735424

10073735424 is an abundant number, since it is smaller than the sum of its proper divisors (22632452167).

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

10073735424 is an frugal number, since it uses more digits than its factorization.

10073735424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Multiplying 10073735424 by its sum of digits (36), we get a square (362654475264 = 602208²).

10073735424 divided by its sum of digits (36) gives a square (279825984 = 16728²).

It can be divided in two parts, 100737 and 35424, that added together give a square (136161 = 369²).

The spelling of 10073735424 in words is "ten billion, seventy-three million, seven hundred thirty-five thousand, four hundred twenty-four".