742197917952 has 288 divisors, whose sum is σ = 2363326761600. Its totient is φ = 228897718272.

The previous prime is 742197917927. The next prime is 742197917983. The reversal of 742197917952 is 259719791247.

742197917952 is a `hidden beast` number, since 7 + 421 + 9 + 7 + 91 + 79 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 742197917952.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6879208 + ... + 6986264.

It is an arithmetic number, because the mean of its divisors is an integer number (8205995700).

Almost surely, 2^742197917952 is an apocalyptic number.

742197917952 is a gapful number since it is divisible by the number (72) 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 742197917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181663380800).

742197917952 is an abundant number, since it is smaller than the sum of its proper divisors (1621128843648).

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

742197917952 is a wasteful number, since it uses less digits than its factorization.

742197917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107158 (or 107138 counting only the distinct ones).

The product of its digits is 20003760, while the sum is 63.

The spelling of 742197917952 in words is "seven hundred forty-two billion, one hundred ninety-seven million, nine hundred seventeen thousand, nine hundred fifty-two".