84929649840 has 360 divisors, whose sum is σ = 333483789600. Its totient is φ = 19313344512.

The previous prime is 84929649829. The next prime is 84929649841. The reversal of 84929649840 is 4894692948.

84929649840 is a `hidden beast` number, since 8 + 492 + 9 + 64 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (84929649841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7014672 + ... + 7026768.

It is an arithmetic number, because the mean of its divisors is an integer number (926343860).

Almost surely, 2^84929649840 is an apocalyptic number.

84929649840 is a gapful number since it is divisible by the number (80) 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 84929649840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166741894800).

84929649840 is an abundant number, since it is smaller than the sum of its proper divisors (248554139760).

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

84929649840 is a wasteful number, since it uses less digits than its factorization.

84929649840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12329 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 84929649840 in words is "eighty-four billion, nine hundred twenty-nine million, six hundred forty-nine thousand, eight hundred forty".