87603749376 has 640 divisors, whose sum is σ = 300693254400. Its totient is φ = 22240296960.

The previous prime is 87603749357. The next prime is 87603749377. The reversal of 87603749376 is 67394730678.

It is not an unprimeable number, because it can be changed into a prime (87603749377) 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 63 ways as a sum of consecutive naturals, for example, 108286060 + ... + 108286868.

It is an arithmetic number, because the mean of its divisors is an integer number (469833210).

Almost surely, 2^87603749376 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 87603749376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150346627200).

87603749376 is an abundant number, since it is smaller than the sum of its proper divisors (213089505024).

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

87603749376 is a wasteful number, since it uses less digits than its factorization.

87603749376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 60.

The spelling of 87603749376 in words is "eighty-seven billion, six hundred three million, seven hundred forty-nine thousand, three hundred seventy-six".