7817608520640 has 672 divisors, whose sum is σ = 28346576905920. Its totient is φ = 2050367717376.

The previous prime is 7817608520633. The next prime is 7817608520641. The reversal of 7817608520640 is 460258067187.

7817608520640 is a `hidden beast` number, since 7 + 8 + 1 + 7 + 608 + 5 + 20 + 6 + 4 + 0 = 666.

It is a super-3 number, since 3×7817608520640³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (7817608520641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2253560826 + ... + 2253564294.

It is an arithmetic number, because the mean of its divisors is an integer number (42182406110).

Almost surely, 2^{7817608520640} 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 7817608520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173288452960).

7817608520640 is an abundant number, since it is smaller than the sum of its proper divisors (20528968385280).

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

7817608520640 is a wasteful number, since it uses less digits than its factorization.

7817608520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 7817608520640 in words is "seven trillion, eight hundred seventeen billion, six hundred eight million, five hundred twenty thousand, six hundred forty".