84510397440 has 880 divisors, whose sum is σ = 354671932032. Its totient is φ = 18839568384.

The previous prime is 84510397429. The next prime is 84510397459. The reversal of 84510397440 is 4479301548.

84510397440 is a `hidden beast` number, since 8 + 4 + 510 + 3 + 97 + 4 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124830382 + ... + 124831058.

Almost surely, 2^84510397440 is an apocalyptic number.

84510397440 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 84510397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177335966016).

84510397440 is an abundant number, since it is smaller than the sum of its proper divisors (270161534592).

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

84510397440 is a wasteful number, since it uses less digits than its factorization.

84510397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 84510397440 its reverse (4479301548), we get a palindrome (88989698988).

The spelling of 84510397440 in words is "eighty-four billion, five hundred ten million, three hundred ninety-seven thousand, four hundred forty".