960954788970 has 320 divisors, whose sum is σ = 2888925405696. Its totient is φ = 227180661120.

The previous prime is 960954788909. The next prime is 960954788971. The reversal of 960954788970 is 79887459069.

960954788970 is a `hidden beast` number, since 9 + 6 + 0 + 9 + 5 + 478 + 89 + 70 = 666.

It is not an unprimeable number, because it can be changed into a prime (960954788971) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 301521717 + ... + 301524903.

Almost surely, 2^960954788970 is an apocalyptic number.

960954788970 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 960954788970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444462702848).

960954788970 is an abundant number, since it is smaller than the sum of its proper divisors (1927970616726).

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

960954788970 is a wasteful number, since it uses less digits than its factorization.

960954788970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 960954788970 in words is "nine hundred sixty billion, nine hundred fifty-four million, seven hundred eighty-eight thousand, nine hundred seventy".