87336873624 has 576 divisors, whose sum is σ = 310556574720. Its totient is φ = 20251123200.

The previous prime is 87336873623. The next prime is 87336873629. The reversal of 87336873624 is 42637863378.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87336873623) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57344527 + ... + 57346049.

It is an arithmetic number, because the mean of its divisors is an integer number (539160720).

Almost surely, 2^87336873624 is an apocalyptic number.

87336873624 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 87336873624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155278287360).

87336873624 is an abundant number, since it is smaller than the sum of its proper divisors (223219701096).

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

87336873624 is a wasteful number, since it uses less digits than its factorization.

87336873624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1590 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 57.

The spelling of 87336873624 in words is "eighty-seven billion, three hundred thirty-six million, eight hundred seventy-three thousand, six hundred twenty-four".