962472228711840 has 1536 divisors, whose sum is σ = 4238969772441600. Its totient is φ = 198137252597760.

The previous prime is 962472228711797. The next prime is 962472228711841. The reversal of 962472228711840 is 48117822274269.

962472228711840 is a `hidden beast` number, since 9 + 6 + 2 + 472 + 2 + 2 + 8 + 7 + 118 + 40 = 666.

962472228711840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (962472228711841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30374340477 + ... + 30374372163.

It is an arithmetic number, because the mean of its divisors is an integer number (2759745945600).

Almost surely, 2^{962472228711840} is an apocalyptic number.

962472228711840 is a gapful number since it is divisible by the number (90) 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 962472228711840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119484886220800).

962472228711840 is an abundant number, since it is smaller than the sum of its proper divisors (3276497543729760).

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

962472228711840 is a wasteful number, since it uses less digits than its factorization.

962472228711840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32575 (or 32561 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 962472228711840 in words is "nine hundred sixty-two trillion, four hundred seventy-two billion, two hundred twenty-eight million, seven hundred eleven thousand, eight hundred forty".