711104929920 has 1536 divisors, whose sum is σ = 3330445248000. Its totient is φ = 135258439680.

The previous prime is 711104929907. The next prime is 711104929981. The reversal of 711104929920 is 29929401117.

It is a happy number.

711104929920 is a `hidden beast` number, since 71 + 1 + 1 + 0 + 492 + 9 + 92 + 0 = 666.

It is a super-2 number, since 2×711104929920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 278972806 + ... + 278975354.

It is an arithmetic number, because the mean of its divisors is an integer number (2168258625).

Almost surely, 2^711104929920 is an apocalyptic number.

711104929920 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 711104929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665222624000).

711104929920 is an abundant number, since it is smaller than the sum of its proper divisors (2619340318080).

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

711104929920 is a wasteful number, since it uses less digits than its factorization.

711104929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 711104929920 in words is "seven hundred eleven billion, one hundred four million, nine hundred twenty-nine thousand, nine hundred twenty".