742859962416 has 960 divisors, whose sum is σ = 2648476486656. Its totient is φ = 190926028800.

The previous prime is 742859962409. The next prime is 742859962477. The reversal of 742859962416 is 614269958247.

742859962416 is a `hidden beast` number, since 7 + 4 + 2 + 8 + 599 + 6 + 24 + 16 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4448263165 + ... + 4448263331.

Almost surely, 2^742859962416 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 742859962416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324238243328).

742859962416 is an abundant number, since it is smaller than the sum of its proper divisors (1905616524240).

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

742859962416 is a wasteful number, since it uses less digits than its factorization.

742859962416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 441 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 742859962416 in words is "seven hundred forty-two billion, eight hundred fifty-nine million, nine hundred sixty-two thousand, four hundred sixteen".