7461464833008 has 240 divisors, whose sum is σ = 21611636766720. Its totient is φ = 2400648768000.

The previous prime is 7461464832949. The next prime is 7461464833049. The reversal of 7461464833008 is 8003384641647.

7461464833008 is a `hidden beast` number, since 74 + 6 + 1 + 464 + 83 + 30 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5142290683 + ... + 5142292133.

It is an arithmetic number, because the mean of its divisors is an integer number (90048486528).

Almost surely, 2^{7461464833008} 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 7461464833008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805818383360).

7461464833008 is an abundant number, since it is smaller than the sum of its proper divisors (14150171933712).

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

7461464833008 is a wasteful number, since it uses less digits than its factorization.

7461464833008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 7461464833008 in words is "seven trillion, four hundred sixty-one billion, four hundred sixty-four million, eight hundred thirty-three thousand, eight".