87434403840 has 672 divisors, whose sum is σ = 357886503936. Its totient is φ = 19322634240.

The previous prime is 87434403839. The next prime is 87434403857. The reversal of 87434403840 is 4830443478.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79994334 + ... + 79995426.

Almost surely, 2^87434403840 is an apocalyptic number.

87434403840 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 87434403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178943251968).

87434403840 is an abundant number, since it is smaller than the sum of its proper divisors (270452100096).

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

87434403840 is a wasteful number, since it uses less digits than its factorization.

87434403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 87434403840 in words is "eighty-seven billion, four hundred thirty-four million, four hundred three thousand, eight hundred forty".