976418656416 has 144 divisors (see below), whose sum is σ = 3176984813184. Its totient is φ = 278658150912.

The previous prime is 976418656361. The next prime is 976418656417. The reversal of 976418656416 is 614656814679.

It is a happy number.

976418656416 is a `hidden beast` number, since 9 + 7 + 64 + 1 + 8 + 6 + 564 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (976418656417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1491901 + ... + 2044163.

It is an arithmetic number, because the mean of its divisors is an integer number (22062394536).

Almost surely, 2^976418656416 is an apocalyptic number.

976418656416 is a gapful number since it is divisible by the number (96) 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 976418656416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588492406592).

976418656416 is an abundant number, since it is smaller than the sum of its proper divisors (2200566156768).

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

976418656416 is a wasteful number, since it uses less digits than its factorization.

976418656416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553163 (or 553152 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 976418656416 in words is "nine hundred seventy-six billion, four hundred eighteen million, six hundred fifty-six thousand, four hundred sixteen".