87413727744 has 400 divisors, whose sum is σ = 302450391936. Its totient is φ = 24617779200.

The previous prime is 87413727743. The next prime is 87413727787. The reversal of 87413727744 is 44772731478.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87413727743) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20609464 + ... + 20613704.

Almost surely, 2^87413727744 is an apocalyptic number.

87413727744 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 87413727744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151225195968).

87413727744 is an abundant number, since it is smaller than the sum of its proper divisors (215036664192).

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

87413727744 is an equidigital number, since it uses as much as digits as its factorization.

87413727744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4324 counting only the distinct ones).

The product of its digits is 7375872, while the sum is 54.

The spelling of 87413727744 in words is "eighty-seven billion, four hundred thirteen million, seven hundred twenty-seven thousand, seven hundred forty-four".