84530619360 has 1152 divisors, whose sum is σ = 347493888000. Its totient is φ = 19135733760.

The previous prime is 84530619353. The next prime is 84530619367. The reversal of 84530619360 is 6391603548.

84530619360 is a `hidden beast` number, since 8 + 453 + 0 + 6 + 193 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84530619353) and next prime (84530619367).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84530619367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 949782196 + ... + 949782284.

It is an arithmetic number, because the mean of its divisors is an integer number (301644000).

Almost surely, 2^84530619360 is an apocalyptic number.

84530619360 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 84530619360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944000).

84530619360 is an abundant number, since it is smaller than the sum of its proper divisors (262963268640).

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

84530619360 is a wasteful number, since it uses less digits than its factorization.

84530619360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 84530619360 in words is "eighty-four billion, five hundred thirty million, six hundred nineteen thousand, three hundred sixty".