87034749984 has 576 divisors, whose sum is σ = 311845847040. Its totient is φ = 22417274880.

The previous prime is 87034749983. The next prime is 87034750001. The reversal of 87034749984 is 48994743078.

87034749984 is a `hidden beast` number, since 8 + 70 + 3 + 474 + 9 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (87034749983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262944699 + ... + 262945029.

It is an arithmetic number, because the mean of its divisors is an integer number (541399040).

Almost surely, 2^87034749984 is an apocalyptic number.

87034749984 is a gapful number since it is divisible by the number (84) 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 87034749984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155922923520).

87034749984 is an abundant number, since it is smaller than the sum of its proper divisors (224811097056).

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

87034749984 is a wasteful number, since it uses less digits than its factorization.

87034749984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 87034749984 in words is "eighty-seven billion, thirty-four million, seven hundred forty-nine thousand, nine hundred eighty-four".