749106107449920 has 2016 divisors, whose sum is σ = 2996678755115136. Its totient is φ = 170208254361600.

The previous prime is 749106107449919. The next prime is 749106107449937. The reversal of 749106107449920 is 29944701601947.

749106107449920 is a `hidden beast` number, since 7 + 4 + 9 + 1 + 0 + 610 + 7 + 4 + 4 + 9 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×749106107449920² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 799472899692 + ... + 799472900628.

It is an arithmetic number, because the mean of its divisors is an integer number (1486447795196).

Almost surely, 2^{749106107449920} 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 749106107449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498339377557568).

749106107449920 is an abundant number, since it is smaller than the sum of its proper divisors (2247572647665216).

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

749106107449920 is a wasteful number, since it uses less digits than its factorization.

749106107449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 749106107449920 in words is "seven hundred forty-nine trillion, one hundred six billion, one hundred seven million, four hundred forty-nine thousand, nine hundred twenty".