87729008640 has 1248 divisors, whose sum is σ = 372987472896. Its totient is φ = 17175674880.

The previous prime is 87729008621. The next prime is 87729008723. The reversal of 87729008640 is 4680092778.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1235619805 + ... + 1235619875.

Almost surely, 2^87729008640 is an apocalyptic number.

87729008640 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 87729008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186493736448).

87729008640 is an abundant number, since it is smaller than the sum of its proper divisors (285258464256).

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

87729008640 is a wasteful number, since it uses less digits than its factorization.

87729008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 87729008640 in words is "eighty-seven billion, seven hundred twenty-nine million, eight thousand, six hundred forty".