849946177080 has 1920 divisors, whose sum is σ = 4063541644800. Its totient is φ = 154300723200.

The previous prime is 849946177051. The next prime is 849946177103. The reversal of 849946177080 is 80771649948.

849946177080 is a `hidden beast` number, since 8 + 4 + 9 + 9 + 4 + 617 + 7 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 849946176999 and 849946177017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 801079750 + ... + 801080810.

It is an arithmetic number, because the mean of its divisors is an integer number (2116427940).

Almost surely, 2^849946177080 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 849946177080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031770822400).

849946177080 is an abundant number, since it is smaller than the sum of its proper divisors (3213595467720).

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

849946177080 is a wasteful number, since it uses less digits than its factorization.

849946177080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 849946177080 in words is "eight hundred forty-nine billion, nine hundred forty-six million, one hundred seventy-seven thousand, eighty".