987690378240 has 352 divisors, whose sum is σ = 3591724498560. Its totient is φ = 257257340928.

The previous prime is 987690378217. The next prime is 987690378251. The reversal of 987690378240 is 42873096789.

987690378240 is a `hidden beast` number, since 98 + 76 + 90 + 378 + 24 + 0 = 666.

987690378240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5861242 + ... + 6027398.

It is an arithmetic number, because the mean of its divisors is an integer number (10203762780).

Almost surely, 2^987690378240 is an apocalyptic number.

987690378240 is a gapful number since it is divisible by the number (90) 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 987690378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795862249280).

987690378240 is an abundant number, since it is smaller than the sum of its proper divisors (2604034120320).

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

987690378240 is a wasteful number, since it uses less digits than its factorization.

987690378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166234 (or 166210 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 987690378240 in words is "nine hundred eighty-seven billion, six hundred ninety million, three hundred seventy-eight thousand, two hundred forty".