8642961040 has 120 divisors (see below), whose sum is σ = 23429571840. Its totient is φ = 2956472064.

The previous prime is 8642961037. The next prime is 8642961043. The reversal of 8642961040 is 401692468.

It is an interprime number because it is at equal distance from previous prime (8642961037) and next prime (8642961043).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8642960984 and 8642961002.

It is not an unprimeable number, because it can be changed into a prime (8642961043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1875379 + ... + 1879981.

It is an arithmetic number, because the mean of its divisors is an integer number (195246432).

Almost surely, 2^8642961040 is an apocalyptic number.

8642961040 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 8642961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714785920).

8642961040 is an abundant number, since it is smaller than the sum of its proper divisors (14786610800).

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

8642961040 is a wasteful number, since it uses less digits than its factorization.

8642961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 8642961040 is about 92967.5268037179. The cubic root of 8642961040 is about 2052.2055216077.

The spelling of 8642961040 in words is "eight billion, six hundred forty-two million, nine hundred sixty-one thousand, forty".