753424000000 has 693 divisors, whose sum is σ = 2262905546157. Its totient is φ = 249984000000.

The previous prime is 753423999973. The next prime is 753424000013. The reversal of 753424000000 is 424357.

The square root of 753424000000 is 868000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 660071752704 + 93352247296 = 812448^2 + 305536^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 24303999985 + ... + 24304000015.

Almost surely, 2^753424000000 is an apocalyptic number.

753424000000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

753424000000 is the 868000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 753424000000

753424000000 is an abundant number, since it is smaller than the sum of its proper divisors (1509481546157).

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

753424000000 is an frugal number, since it uses more digits than its factorization.

753424000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

Multiplying 753424000000 by its sum of digits (25), we get a square (18835600000000 = 4340000²).

753424000000 divided by its sum of digits (25) gives a square (30136960000 = 173600²).

Adding to 753424000000 its reverse (424357), we get a palindrome (753424424357).

The spelling of 753424000000 in words is "seven hundred fifty-three billion, four hundred twenty-four million", and thus it is an aban number.