87243488640 has 3072 divisors, whose sum is σ = 452096640000. Its totient is φ = 15606743040.

The previous prime is 87243488597. The next prime is 87243488641. The reversal of 87243488640 is 4688434278.

It is a happy number.

87243488640 is a `hidden beast` number, since 8 + 72 + 434 + 88 + 64 + 0 = 666.

It is a super-2 number, since 2×87243488640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87243488641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3008396146 + ... + 3008396174.

It is an arithmetic number, because the mean of its divisors is an integer number (147166875).

Almost surely, 2^87243488640 is an apocalyptic number.

87243488640 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 87243488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226048320000).

87243488640 is an abundant number, since it is smaller than the sum of its proper divisors (364853151360).

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

87243488640 is a wasteful number, since it uses less digits than its factorization.

87243488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 87243488640 in words is "eighty-seven billion, two hundred forty-three million, four hundred eighty-eight thousand, six hundred forty".