87915449664 has 168 divisors, whose sum is σ = 288511853760. Its totient is φ = 25073436672.

The previous prime is 87915449639. The next prime is 87915449729. The reversal of 87915449664 is 46694451978.

87915449664 is a `hidden beast` number, since 8 + 7 + 91 + 54 + 496 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2250652 + ... + 2289380.

Almost surely, 2^87915449664 is an apocalyptic number.

87915449664 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 87915449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144255926880).

87915449664 is an abundant number, since it is smaller than the sum of its proper divisors (200596404096).

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

87915449664 is a wasteful number, since it uses less digits than its factorization.

87915449664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39317 (or 39304 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 87915449664 in words is "eighty-seven billion, nine hundred fifteen million, four hundred forty-nine thousand, six hundred sixty-four".