84786526440 has 1280 divisors, whose sum is σ = 386729164800. Its totient is φ = 16124313600.

The previous prime is 84786526379. The next prime is 84786526481. The reversal of 84786526440 is 4462568748.

It is a happy number.

84786526440 is a `hidden beast` number, since 8 + 4 + 78 + 6 + 526 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 146943432 + ... + 146944008.

It is an arithmetic number, because the mean of its divisors is an integer number (302132160).

Almost surely, 2^84786526440 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 84786526440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193364582400).

84786526440 is an abundant number, since it is smaller than the sum of its proper divisors (301942638360).

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

84786526440 is a wasteful number, since it uses less digits than its factorization.

84786526440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 84786526440 in words is "eighty-four billion, seven hundred eighty-six million, five hundred twenty-six thousand, four hundred forty".