7607404486656 has 896 divisors, whose sum is σ = 27056642457600. Its totient is φ = 2086844497920.

The previous prime is 7607404486609. The next prime is 7607404486657. The reversal of 7607404486656 is 6566844047067.

It is a happy number.

7607404486656 is a `hidden beast` number, since 7 + 60 + 7 + 40 + 4 + 486 + 6 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7607404486593 and 7607404486602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7607404486657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 928747521 + ... + 928755711.

It is an arithmetic number, because the mean of its divisors is an integer number (30197145600).

Almost surely, 2^{7607404486656} is an apocalyptic number.

7607404486656 is a gapful number since it is divisible by the number (76) 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 7607404486656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13528321228800).

7607404486656 is an abundant number, since it is smaller than the sum of its proper divisors (19449237970944).

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

7607404486656 is a wasteful number, since it uses less digits than its factorization.

7607404486656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 7607404486656 in words is "seven trillion, six hundred seven billion, four hundred four million, four hundred eighty-six thousand, six hundred fifty-six".