4612906808640 has 1344 divisors, whose sum is σ = 18388130457600. Its totient is φ = 1086898176000.

The previous prime is 4612906808633. The next prime is 4612906808641. The reversal of 4612906808640 is 468086092164.

4612906808640 is a `hidden beast` number, since 461 + 2 + 9 + 0 + 68 + 0 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4612906808641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4571760456 + ... + 4571761464.

Almost surely, 2^{4612906808640} is an apocalyptic number.

4612906808640 is a gapful number since it is divisible by the number (40) 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 4612906808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194065228800).

4612906808640 is an abundant number, since it is smaller than the sum of its proper divisors (13775223648960).

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

4612906808640 is a wasteful number, since it uses less digits than its factorization.

4612906808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 4612906808640 in words is "four trillion, six hundred twelve billion, nine hundred six million, eight hundred eight thousand, six hundred forty".