84263639040 has 960 divisors, whose sum is σ = 360752071680. Its totient is φ = 18393661440.

The previous prime is 84263639039. The next prime is 84263639041. The reversal of 84263639040 is 4093636248.

84263639040 is a `hidden beast` number, since 8 + 4 + 2 + 6 + 3 + 639 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84263639039) and next prime (84263639041).

It is a tau number, because it is divible by the number of its divisors (960).

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 (84263639041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133539525 + ... + 133540155.

It is an arithmetic number, because the mean of its divisors is an integer number (375783408).

Almost surely, 2^84263639040 is an apocalyptic number.

84263639040 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 84263639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180376035840).

84263639040 is an abundant number, since it is smaller than the sum of its proper divisors (276488432640).

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

84263639040 is a wasteful number, since it uses less digits than its factorization.

84263639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 84263639040 in words is "eighty-four billion, two hundred sixty-three million, six hundred thirty-nine thousand, forty".