747121727520 has 288 divisors, whose sum is σ = 2957266585728. Its totient is φ = 168221712384.

The previous prime is 747121727483. The next prime is 747121727537. The reversal of 747121727520 is 25727121747.

747121727520 is a `hidden beast` number, since 7 + 47 + 12 + 1 + 72 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122232 + ... + 1228488.

It is an arithmetic number, because the mean of its divisors is an integer number (10268286756).

Almost surely, 2^747121727520 is an apocalyptic number.

747121727520 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 747121727520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478633292864).

747121727520 is an abundant number, since it is smaller than the sum of its proper divisors (2210144858208).

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

747121727520 is a wasteful number, since it uses less digits than its factorization.

747121727520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106352 (or 1106341 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The spelling of 747121727520 in words is "seven hundred forty-seven billion, one hundred twenty-one million, seven hundred twenty-seven thousand, five hundred twenty".