84617245440 has 972 divisors, whose sum is σ = 369193812624. Its totient is φ = 17833181184.

The previous prime is 84617245429. The next prime is 84617245441. The reversal of 84617245440 is 4454271648.

84617245440 is a `hidden beast` number, since 8 + 4 + 617 + 24 + 5 + 4 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (84617245441) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 95396677 + ... + 95397563.

Almost surely, 2^84617245440 is an apocalyptic number.

84617245440 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 84617245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184596906312).

84617245440 is an abundant number, since it is smaller than the sum of its proper divisors (284576567184).

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

84617245440 is a wasteful number, since it uses less digits than its factorization.

84617245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 84617245440 in words is "eighty-four billion, six hundred seventeen million, two hundred forty-five thousand, four hundred forty".