742647894799104 has 1296 divisors, whose sum is σ = 2720677591457280. Its totient is φ = 200895779266560.

The previous prime is 742647894799099. The next prime is 742647894799121. The reversal of 742647894799104 is 401997498746247.

742647894799104 is a `hidden beast` number, since 7 + 4 + 2 + 6 + 478 + 9 + 47 + 99 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 138012986494 + ... + 138012991874.

Almost surely, 2^{742647894799104} 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 742647894799104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360338795728640).

742647894799104 is an abundant number, since it is smaller than the sum of its proper divisors (1978029696658176).

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

742647894799104 is a wasteful number, since it uses less digits than its factorization.

742647894799104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828 (or 7795 counting only the distinct ones).

The product of its (nonzero) digits is 6145155072, while the sum is 81.

The spelling of 742647894799104 in words is "seven hundred forty-two trillion, six hundred forty-seven billion, eight hundred ninety-four million, seven hundred ninety-nine thousand, one hundred four".