2958463678464 has 1344 divisors, whose sum is σ = 10931063270400. Its totient is φ = 781276741632.

The previous prime is 2958463678463. The next prime is 2958463678481. The reversal of 2958463678464 is 4648763648592.

2958463678464 is a `hidden beast` number, since 2 + 9 + 58 + 46 + 3 + 6 + 78 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2958463678392 and 2958463678401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958463678463) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9332692834 + ... + 9332693150.

It is an arithmetic number, because the mean of its divisors is an integer number (8133231600).

Almost surely, 2^{2958463678464} is an apocalyptic number.

2958463678464 is a gapful number since it is divisible by the number (24) 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 2958463678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465531635200).

2958463678464 is an abundant number, since it is smaller than the sum of its proper divisors (7972599591936).

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

2958463678464 is an equidigital number, since it uses as much as digits as its factorization.

2958463678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 395 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 2958463678464 in words is "two trillion, nine hundred fifty-eight billion, four hundred sixty-three million, six hundred seventy-eight thousand, four hundred sixty-four".