84244764240 has 1920 divisors, whose sum is σ = 395174707200. Its totient is φ = 15586836480.

The previous prime is 84244764211. The next prime is 84244764257. The reversal of 84244764240 is 4246744248.

84244764240 is a `hidden beast` number, since 84 + 24 + 476 + 42 + 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 383 ways as a sum of consecutive naturals, for example, 1427877331 + ... + 1427877389.

It is an arithmetic number, because the mean of its divisors is an integer number (205820160).

Almost surely, 2^84244764240 is an apocalyptic number.

84244764240 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 84244764240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197587353600).

84244764240 is an abundant number, since it is smaller than the sum of its proper divisors (310929942960).

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

84244764240 is a wasteful number, since it uses less digits than its factorization.

84244764240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 45.

The spelling of 84244764240 in words is "eighty-four billion, two hundred forty-four million, seven hundred sixty-four thousand, two hundred forty".