87346973376 has 280 divisors, whose sum is σ = 279343784720. Its totient is φ = 26827573248.

The previous prime is 87346973291. The next prime is 87346973377. The reversal of 87346973376 is 67337964378.

87346973376 is a `hidden beast` number, since 8 + 73 + 469 + 7 + 33 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (87346973377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61123830 + ... + 61125258.

It is an arithmetic number, because the mean of its divisors is an integer number (997656374).

Almost surely, 2^87346973376 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 87346973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139671892360).

87346973376 is an abundant number, since it is smaller than the sum of its proper divisors (191996811344).

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

87346973376 is a wasteful number, since it uses less digits than its factorization.

87346973376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2354 counting only the distinct ones).

The product of its digits is 96018048, while the sum is 63.

The spelling of 87346973376 in words is "eighty-seven billion, three hundred forty-six million, nine hundred seventy-three thousand, three hundred seventy-six".