87468176640 has 288 divisors, whose sum is σ = 301347083520. Its totient is φ = 21494366208.

The previous prime is 87468176633. The next prime is 87468176641. The reversal of 87468176640 is 4667186478.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87468176641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41083096 + ... + 41085224.

It is an arithmetic number, because the mean of its divisors is an integer number (1046344040).

Almost surely, 2^87468176640 is an apocalyptic number.

87468176640 is a gapful number since it is divisible by the number (80) 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 87468176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150673541760).

87468176640 is an abundant number, since it is smaller than the sum of its proper divisors (213878906880).

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

87468176640 is a wasteful number, since it uses less digits than its factorization.

87468176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 87468176640 in words is "eighty-seven billion, four hundred sixty-eight million, one hundred seventy-six thousand, six hundred forty".