742424704 has 64 divisors (see below), whose sum is σ = 1744934400. Its totient is φ = 307906560.

The previous prime is 742424701. The next prime is 742424741. The reversal of 742424704 is 407424247.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×742424704² = 1102388882218975232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 742424704.

It is not an unprimeable number, because it can be changed into a prime (742424701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14412 + ... + 41140.

It is an arithmetic number, because the mean of its divisors is an integer number (27264600).

Almost surely, 2^742424704 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 742424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872467200).

742424704 is an abundant number, since it is smaller than the sum of its proper divisors (1002509696).

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

742424704 is a wasteful number, since it uses less digits than its factorization.

742424704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26781 (or 26769 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 34.

The square root of 742424704 is about 27247.4715157205. The cubic root of 742424704 is about 905.4910002121.

It can be divided in two parts, 74 and 2424704, that multiplied together give a triangular number (179428096 = T₁₈₉₄₃).

The spelling of 742424704 in words is "seven hundred forty-two million, four hundred twenty-four thousand, seven hundred four".