7963504640 has 208 divisors, whose sum is σ = 23525600448. Its totient is φ = 2519728128.

The previous prime is 7963504631. The next prime is 7963504649. The reversal of 7963504640 is 464053697.

It is an interprime number because it is at equal distance from previous prime (7963504631) and next prime (7963504649).

It is a tau number, because it is divible by the number of its divisors (208).

It is a junction number, because it is equal to n+sod(n) for n = 7963504591 and 7963504600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7963504649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1861544 + ... + 1865816.

Almost surely, 2^7963504640 is an apocalyptic number.

7963504640 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 7963504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762800224).

7963504640 is an abundant number, since it is smaller than the sum of its proper divisors (15562095808).

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

7963504640 is a wasteful number, since it uses less digits than its factorization.

7963504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The square root of 7963504640 is about 89238.4706278632. The cubic root of 7963504640 is about 1996.9540835514.

The spelling of 7963504640 in words is "seven billion, nine hundred sixty-three million, five hundred four thousand, six hundred forty".