7958466460000 has 240 divisors, whose sum is σ = 22393891285920. Its totient is φ = 2726438400000.

The previous prime is 7958466459863. The next prime is 7958466460003. The reversal of 7958466460000 is 646648597.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7958466460003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180437950 + ... + 180482050.

It is an arithmetic number, because the mean of its divisors is an integer number (93307880358).

Almost surely, 2^{7958466460000} is an apocalyptic number.

7958466460000 is a gapful number since it is divisible by the number (70) 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 7958466460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11196945642960).

7958466460000 is an abundant number, since it is smaller than the sum of its proper divisors (14435424825920).

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

7958466460000 is a wasteful number, since it uses less digits than its factorization.

7958466460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45427 (or 45404 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 7958466460000 in words is "seven trillion, nine hundred fifty-eight billion, four hundred sixty-six million, four hundred sixty thousand".