4978467624960 has 1152 divisors, whose sum is σ = 18656405913600. Its totient is φ = 1224014561280.

The previous prime is 4978467624959. The next prime is 4978467624983. The reversal of 4978467624960 is 694267648794.

4978467624960 is a `hidden beast` number, since 4 + 9 + 7 + 8 + 467 + 62 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13565306697 + ... + 13565307063.

It is an arithmetic number, because the mean of its divisors is an integer number (16194796800).

Almost surely, 2^{4978467624960} is an apocalyptic number.

4978467624960 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 4978467624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9328202956800).

4978467624960 is an abundant number, since it is smaller than the sum of its proper divisors (13677938288640).

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

4978467624960 is a wasteful number, since it uses less digits than its factorization.

4978467624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 4978467624960 in words is "four trillion, nine hundred seventy-eight billion, four hundred sixty-seven million, six hundred twenty-four thousand, nine hundred sixty".