742862016 has 280 divisors, whose sum is σ = 2419872224. Its totient is φ = 223948800.

The previous prime is 742862011. The next prime is 742862047. The reversal of 742862016 is 610268247.

742862016 is a `hidden beast` number, since 7 + 4 + 28 + 620 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (742862011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4919541 + ... + 4919691.

Almost surely, 2^742862016 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 742862016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209936112).

742862016 is an abundant number, since it is smaller than the sum of its proper divisors (1677010208).

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

742862016 is a wasteful number, since it uses less digits than its factorization.

742862016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 742862016 is about 27255.4951523541. The cubic root of 742862016 is about 905.6687530782.

The spelling of 742862016 in words is "seven hundred forty-two million, eight hundred sixty-two thousand, sixteen".