84800491776 has 864 divisors, whose sum is σ = 332985848832. Its totient is φ = 20041482240.

The previous prime is 84800491739. The next prime is 84800491777. The reversal of 84800491776 is 67719400848.

It is a happy number.

84800491776 is a `hidden beast` number, since 8 + 4 + 80 + 0 + 491 + 7 + 76 = 666.

It is a super-2 number, since 2×84800491776² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84800491777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191423011 + ... + 191423453.

It is an arithmetic number, because the mean of its divisors is an integer number (385400288).

Almost surely, 2^84800491776 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 84800491776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166492924416).

84800491776 is an abundant number, since it is smaller than the sum of its proper divisors (248185357056).

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

84800491776 is a wasteful number, since it uses less digits than its factorization.

84800491776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 84800491776 in words is "eighty-four billion, eight hundred million, four hundred ninety-one thousand, seven hundred seventy-six".