87472437840 has 480 divisors, whose sum is σ = 333721140480. Its totient is φ = 21194514432.

The previous prime is 87472437839. The next prime is 87472437847. The reversal of 87472437840 is 4873427478.

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 (87472437847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9579357 + ... + 9588483.

It is an arithmetic number, because the mean of its divisors is an integer number (695252376).

Almost surely, 2^87472437840 is an apocalyptic number.

87472437840 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 87472437840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166860570240).

87472437840 is an abundant number, since it is smaller than the sum of its proper divisors (246248702640).

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

87472437840 is a wasteful number, since it uses less digits than its factorization.

87472437840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9201 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 87472437840 in words is "eighty-seven billion, four hundred seventy-two million, four hundred thirty-seven thousand, eight hundred forty".