742390830720 has 2304 divisors, whose sum is σ = 3419257121280. Its totient is φ = 146638356480.

The previous prime is 742390830697. The next prime is 742390830721. The reversal of 742390830720 is 27038093247.

It is a super-2 number, since 2×742390830720² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (742390830721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8944467799 + ... + 8944467881.

It is an arithmetic number, because the mean of its divisors is an integer number (1484052570).

Almost surely, 2^742390830720 is an apocalyptic number.

742390830720 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 742390830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709628560640).

742390830720 is an abundant number, since it is smaller than the sum of its proper divisors (2676866290560).

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

742390830720 is a wasteful number, since it uses less digits than its factorization.

742390830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 742390830720 in words is "seven hundred forty-two billion, three hundred ninety million, eight hundred thirty thousand, seven hundred twenty".