954327435260640 has 1152 divisors, whose sum is σ = 3715386200225280. Its totient is φ = 204721451827200.

The previous prime is 954327435260611. The next prime is 954327435260671. The reversal of 954327435260640 is 46062534723459.

It is a happy number.

It is a super-3 number, since 3×954327435260640³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150027891060 + ... + 150027897420.

It is an arithmetic number, because the mean of its divisors is an integer number (3225161632140).

Almost surely, 2^{954327435260640} 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 954327435260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857693100112640).

954327435260640 is an abundant number, since it is smaller than the sum of its proper divisors (2761058764964640).

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

954327435260640 is a wasteful number, since it uses less digits than its factorization.

954327435260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 60.

The spelling of 954327435260640 in words is "nine hundred fifty-four trillion, three hundred twenty-seven billion, four hundred thirty-five million, two hundred sixty thousand, six hundred forty".