87940844640 has 1152 divisors, whose sum is σ = 358819614720. Its totient is φ = 20323353600.

The previous prime is 87940844627. The next prime is 87940844659. The reversal of 87940844640 is 4644804978.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1312549887 + ... + 1312549953.

It is an arithmetic number, because the mean of its divisors is an integer number (311475360).

Almost surely, 2^87940844640 is an apocalyptic number.

87940844640 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 87940844640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179409807360).

87940844640 is an abundant number, since it is smaller than the sum of its proper divisors (270878770080).

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

87940844640 is a wasteful number, since it uses less digits than its factorization.

87940844640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 87940844640 in words is "eighty-seven billion, nine hundred forty million, eight hundred forty-four thousand, six hundred forty".