753921362672 has 80 divisors (see below), whose sum is σ = 1528625048640. Its totient is φ = 359763296256.

The previous prime is 753921362657. The next prime is 753921362687. The reversal of 753921362672 is 276263129357.

753921362672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (753921362657) and next prime (753921362687).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14032853 + ... + 14086475.

It is an arithmetic number, because the mean of its divisors is an integer number (19107813108).

Almost surely, 2^753921362672 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 753921362672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764312524320).

753921362672 is an abundant number, since it is smaller than the sum of its proper divisors (774703685968).

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

753921362672 is a wasteful number, since it uses less digits than its factorization.

753921362672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54010 (or 54004 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 53.

The spelling of 753921362672 in words is "seven hundred fifty-three billion, nine hundred twenty-one million, three hundred sixty-two thousand, six hundred seventy-two".