987959472640 has 320 divisors, whose sum is σ = 2829196491264. Its totient is φ = 323507847168.

The previous prime is 987959472637. The next prime is 987959472641. The reversal of 987959472640 is 46274959789.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 987959472640.

It is not an unprimeable number, because it can be changed into a prime (987959472641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353219722 + ... + 353222518.

Almost surely, 2^987959472640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987959472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414598245632).

987959472640 is an abundant number, since it is smaller than the sum of its proper divisors (1841237018624).

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

987959472640 is a wasteful number, since it uses less digits than its factorization.

987959472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 70.

The spelling of 987959472640 in words is "nine hundred eighty-seven billion, nine hundred fifty-nine million, four hundred seventy-two thousand, six hundred forty".