9987578370 has 576 divisors, whose sum is σ = 36155911680. Its totient is φ = 1947939840.

The previous prime is 9987578339. The next prime is 9987578401. The reversal of 9987578370 is 738757899.

It is an interprime number because it is at equal distance from previous prime (9987578339) and next prime (9987578401).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 9987578298 and 9987578307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27213927 + ... + 27214293.

It is an arithmetic number, because the mean of its divisors is an integer number (62770680).

Almost surely, 2^9987578370 is an apocalyptic number.

9987578370 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9987578370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18077955840).

9987578370 is an abundant number, since it is smaller than the sum of its proper divisors (26168333310).

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

9987578370 is a wasteful number, since it uses less digits than its factorization.

9987578370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The square root of 9987578370 is about 99937.8725509003. The cubic root of 9987578370 is about 2153.5422673991.

The spelling of 9987578370 in words is "nine billion, nine hundred eighty-seven million, five hundred seventy-eight thousand, three hundred seventy".