742774368 has 96 divisors (see below), whose sum is σ = 2282757120. Its totient is φ = 207037440.

The previous prime is 742774363. The next prime is 742774393. The reversal of 742774368 is 863477247.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742774363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14073 + ... + 41031.

It is an arithmetic number, because the mean of its divisors is an integer number (23778720).

Almost surely, 2^742774368 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 742774368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141378560).

742774368 is an abundant number, since it is smaller than the sum of its proper divisors (1539982752).

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

742774368 is a wasteful number, since it uses less digits than its factorization.

742774368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27020 (or 27012 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 48.

The square root of 742774368 is about 27253.8872089836. The cubic root of 742774368 is about 905.6331326555.

The spelling of 742774368 in words is "seven hundred forty-two million, seven hundred seventy-four thousand, three hundred sixty-eight".