4948085076480 has 2400 divisors, whose sum is σ = 22911793622784. Its totient is φ = 997461983232.

The previous prime is 4948085076449. The next prime is 4948085076551. The reversal of 4948085076480 is 846705808494.

4948085076480 is a `hidden beast` number, since 4 + 9 + 4 + 8 + 0 + 85 + 0 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5642057802 + ... + 5642058678.

Almost surely, 2^{4948085076480} is an apocalyptic number.

4948085076480 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 4948085076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11455896811392).

4948085076480 is an abundant number, since it is smaller than the sum of its proper divisors (17963708546304).

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

4948085076480 is a wasteful number, since it uses less digits than its factorization.

4948085076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 4948085076480 in words is "four trillion, nine hundred forty-eight billion, eighty-five million, seventy-six thousand, four hundred eighty".