84689466848640 has 896 divisors, whose sum is σ = 315275415598080. Its totient is φ = 21720659742720.

The previous prime is 84689466848639. The next prime is 84689466848641. The reversal of 84689466848640 is 4684866498648.

84689466848640 is a `hidden beast` number, since 8 + 4 + 6 + 8 + 94 + 6 + 6 + 8 + 486 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (84689466848639) and next prime (84689466848641).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 84689466848640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84689466848641) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2357509719 + ... + 2357545641.

It is an arithmetic number, because the mean of its divisors is an integer number (351869883480).

Almost surely, 2^{84689466848640} is an apocalyptic number.

84689466848640 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 84689466848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157637707799040).

84689466848640 is an abundant number, since it is smaller than the sum of its proper divisors (230585948749440).

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

84689466848640 is a wasteful number, since it uses less digits than its factorization.

84689466848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36154 (or 36127 counting only the distinct ones).

The product of its (nonzero) digits is 12230590464, while the sum is 81.

The spelling of 84689466848640 in words is "eighty-four trillion, six hundred eighty-nine billion, four hundred sixty-six million, eight hundred forty-eight thousand, six hundred forty".