742692526080 has 384 divisors, whose sum is σ = 2554399411200. Its totient is φ = 183628726272.

The previous prime is 742692526063. The next prime is 742692526087. The reversal of 742692526080 is 80625296247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742692526087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27419424 + ... + 27446496.

It is an arithmetic number, because the mean of its divisors is an integer number (6652081800).

Almost surely, 2^742692526080 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 742692526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277199705600).

742692526080 is an abundant number, since it is smaller than the sum of its proper divisors (1811706885120).

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

742692526080 is a wasteful number, since it uses less digits than its factorization.

742692526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27169 (or 27149 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 742692526080 in words is "seven hundred forty-two billion, six hundred ninety-two million, five hundred twenty-six thousand, eighty".