84765039840 has 384 divisors, whose sum is σ = 320022057600. Its totient is φ = 20831109120.

The previous prime is 84765039839. The next prime is 84765039841. The reversal of 84765039840 is 4893056748.

84765039840 is a `hidden beast` number, since 8 + 4 + 7 + 6 + 503 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (84765039839) and next prime (84765039841).

It is a super-2 number, since 2×84765039840² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84765039841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62280760 + ... + 62282120.

It is an arithmetic number, because the mean of its divisors is an integer number (833390775).

Almost surely, 2^84765039840 is an apocalyptic number.

84765039840 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 84765039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160011028800).

84765039840 is an abundant number, since it is smaller than the sum of its proper divisors (235257017760).

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

84765039840 is a wasteful number, since it uses less digits than its factorization.

84765039840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 84765039840 in words is "eighty-four billion, seven hundred sixty-five million, thirty-nine thousand, eight hundred forty".