4800696290208 has 768 divisors, whose sum is σ = 18740345379840. Its totient is φ = 1159421755392.

The previous prime is 4800696290147. The next prime is 4800696290213. The reversal of 4800696290208 is 8020926960084.

It is a happy number.

4800696290208 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 6 + 9 + 629 + 0 + 2 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49405960 + ... + 49503032.

It is an arithmetic number, because the mean of its divisors is an integer number (24401491380).

Almost surely, 2^{4800696290208} is an apocalyptic number.

4800696290208 is a gapful number since it is divisible by the number (48) 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 4800696290208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9370172689920).

4800696290208 is an abundant number, since it is smaller than the sum of its proper divisors (13939649089632).

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

4800696290208 is a wasteful number, since it uses less digits than its factorization.

4800696290208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97166 (or 97152 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 4800696290208 in words is "four trillion, eight hundred billion, six hundred ninety-six million, two hundred ninety thousand, two hundred eight".