742135680 has 768 divisors, whose sum is σ = 3247957440. Its totient is φ = 153354240.

The previous prime is 742135661. The next prime is 742135721. The reversal of 742135680 is 86531247.

742135680 is a `hidden beast` number, since 74 + 21 + 3 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14002534 + ... + 14002586.

Almost surely, 2^742135680 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 742135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623978720).

742135680 is an abundant number, since it is smaller than the sum of its proper divisors (2505821760).

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

742135680 is a wasteful number, since it uses less digits than its factorization.

742135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 742135680 is about 27242.1673146613. The cubic root of 742135680 is about 905.3734831999.

The spelling of 742135680 in words is "seven hundred forty-two million, one hundred thirty-five thousand, six hundred eighty".