747132120540 has 288 divisors, whose sum is σ = 2539178905536. Its totient is φ = 183317022720.

The previous prime is 747132120533. The next prime is 747132120547. The reversal of 747132120540 is 45021231747.

747132120540 is a `hidden beast` number, since 7 + 4 + 71 + 3 + 21 + 20 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (747132120533) and next prime (747132120547).

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

It is a junction number, because it is equal to n+sod(n) for n = 747132120495 and 747132120504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747132120547) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19756450 + ... + 19794230.

It is an arithmetic number, because the mean of its divisors is an integer number (8816593422).

Almost surely, 2^747132120540 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 747132120540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269589452768).

747132120540 is an abundant number, since it is smaller than the sum of its proper divisors (1792046784996).

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

747132120540 is a wasteful number, since it uses less digits than its factorization.

747132120540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38131 (or 38117 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 747132120540 in words is "seven hundred forty-seven billion, one hundred thirty-two million, one hundred twenty thousand, five hundred forty".