84276826920 has 1024 divisors, whose sum is σ = 353009664000. Its totient is φ = 17592422400.

The previous prime is 84276826903. The next prime is 84276826937. The reversal of 84276826920 is 2962867248.

It is an interprime number because it is at equal distance from previous prime (84276826903) and next prime (84276826937).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 138841257 + ... + 138841863.

It is an arithmetic number, because the mean of its divisors is an integer number (344736000).

Almost surely, 2^84276826920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84276826920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176504832000).

84276826920 is an abundant number, since it is smaller than the sum of its proper divisors (268732837080).

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

84276826920 is a wasteful number, since it uses less digits than its factorization.

84276826920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 84276826920 in words is "eighty-four billion, two hundred seventy-six million, eight hundred twenty-six thousand, nine hundred twenty".