742419399680 has 528 divisors, whose sum is σ = 2145250759680. Its totient is φ = 245665824768.

The previous prime is 742419399649. The next prime is 742419399707. The reversal of 742419399680 is 86993914247.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931517042 + ... + 931517838.

Almost surely, 2^742419399680 is an apocalyptic number.

742419399680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742419399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072625379840).

742419399680 is an abundant number, since it is smaller than the sum of its proper divisors (1402831360000).

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

742419399680 is a wasteful number, since it uses less digits than its factorization.

742419399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 62.

The spelling of 742419399680 in words is "seven hundred forty-two billion, four hundred nineteen million, three hundred ninety-nine thousand, six hundred eighty".