747720529920 has 1536 divisors, whose sum is σ = 3312775065600. Its totient is φ = 155770159104.

The previous prime is 747720529909. The next prime is 747720529937. The reversal of 747720529920 is 29925027747.

It is a happy number.

747720529920 is a `hidden beast` number, since 7 + 4 + 7 + 7 + 20 + 529 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2843043709 + ... + 2843043971.

It is an arithmetic number, because the mean of its divisors is an integer number (2156754600).

Almost surely, 2^747720529920 is an apocalyptic number.

747720529920 is a gapful number since it is divisible by the number (70) 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 747720529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656387532800).

747720529920 is an abundant number, since it is smaller than the sum of its proper divisors (2565054535680).

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

747720529920 is a wasteful number, since it uses less digits than its factorization.

747720529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 747720529920 in words is "seven hundred forty-seven billion, seven hundred twenty million, five hundred twenty-nine thousand, nine hundred twenty".