4960648000 has 224 divisors, whose sum is σ = 15318321408. Its totient is φ = 1545984000.

The previous prime is 4960647977. The next prime is 4960648013. The reversal of 4960648000 is 8460694.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 611974 + ... + 620026.

Almost surely, 2^4960648000 is an apocalyptic number.

4960648000 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 4960648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659160704).

4960648000 is an abundant number, since it is smaller than the sum of its proper divisors (10357673408).

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

4960648000 is a wasteful number, since it uses less digits than its factorization.

4960648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 4960648000 is about 70431.8677872453. The cubic root of 4960648000 is about 1705.4780610070.

The spelling of 4960648000 in words is "four billion, nine hundred sixty million, six hundred forty-eight thousand".