87466723568640 has 2464 divisors, whose sum is σ = 356558181940800. Its totient is φ = 20426997104640.

The previous prime is 87466723568603. The next prime is 87466723568663. The reversal of 87466723568640 is 4686532766478.

It is a happy number.

87466723568640 is a `hidden beast` number, since 8 + 7 + 466 + 72 + 3 + 56 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 85835842051 + ... + 85835843069.

Almost surely, 2^{87466723568640} is an apocalyptic number.

87466723568640 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 87466723568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178279090970400).

87466723568640 is an abundant number, since it is smaller than the sum of its proper divisors (269091458372160).

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

87466723568640 is a wasteful number, since it uses less digits than its factorization.

87466723568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 72.

The spelling of 87466723568640 in words is "eighty-seven trillion, four hundred sixty-six billion, seven hundred twenty-three million, five hundred sixty-eight thousand, six hundred forty".