747609120000 has 540 divisors, whose sum is σ = 2710037013684. Its totient is φ = 198144000000.

The previous prime is 747609119989. The next prime is 747609120001. The reversal of 747609120000 is 21906747.

It is a happy number.

747609120000 is a `hidden beast` number, since 7 + 47 + 609 + 1 + 2 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 392316827904 + 355292292096 = 626352^2 + 596064^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747609120001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 249118500 + ... + 249121500.

Almost surely, 2^747609120000 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 747609120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355018506842).

747609120000 is an abundant number, since it is smaller than the sum of its proper divisors (1962427893684).

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

747609120000 is a wasteful number, since it uses less digits than its factorization.

747609120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 747609120000 in words is "seven hundred forty-seven billion, six hundred nine million, one hundred twenty thousand".