742016496 has 160 divisors (see below), whose sum is σ = 2159861760. Its totient is φ = 217958400.

The previous prime is 742016489. The next prime is 742016497. The reversal of 742016496 is 694610247.

It is a happy number.

It is a super-2 number, since 2×742016496² = 1101176960672236032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742016497) 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, 1721401 + ... + 1721831.

It is an arithmetic number, because the mean of its divisors is an integer number (13499136).

Almost surely, 2^742016496 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 742016496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079930880).

742016496 is an abundant number, since it is smaller than the sum of its proper divisors (1417845264).

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

742016496 is a wasteful number, since it uses less digits than its factorization.

742016496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 742016496 is about 27239.9797356753. The cubic root of 742016496 is about 905.3250141607.

The spelling of 742016496 in words is "seven hundred forty-two million, sixteen thousand, four hundred ninety-six".