742102264334916 has 243 divisors, whose sum is σ = 1991538474003351. Its totient is φ = 232966282889088.

The previous prime is 742102264334807. The next prime is 742102264334923. The reversal of 742102264334916 is 619433462201247.

The square root of 742102264334916 is 27241554.

It is a perfect power (a square), and thus also a powerful number.

742102264334916 is a `hidden beast` number, since 7 + 4 + 2 + 102 + 2 + 6 + 43 + 3 + 491 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2736556296516 + 739365708038400 = 1654254^2 + 27191280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 611790819126 + ... + 611790820338.

Almost surely, 2^{742102264334916} is an apocalyptic number.

742102264334916 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

742102264334916 is the 27241554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742102264334916

742102264334916 is an abundant number, since it is smaller than the sum of its proper divisors (1249436209668435).

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

742102264334916 is a wasteful number, since it uses less digits than its factorization.

742102264334916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 742102264334916 in words is "seven hundred forty-two trillion, one hundred two billion, two hundred sixty-four million, three hundred thirty-four thousand, nine hundred sixteen".