4967363520 has 336 divisors, whose sum is σ = 19899172800. Its totient is φ = 1113735168.

The previous prime is 4967363509. The next prime is 4967363551. The reversal of 4967363520 is 253637694.

4967363520 is a `hidden beast` number, since 4 + 9 + 6 + 7 + 3 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1066156 + ... + 1070804.

Almost surely, 2^4967363520 is an apocalyptic number.

4967363520 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 4967363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9949586400).

4967363520 is an abundant number, since it is smaller than the sum of its proper divisors (14931809280).

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

4967363520 is a wasteful number, since it uses less digits than its factorization.

4967363520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 4967363520 is about 70479.5255375630. The cubic root of 4967363520 is about 1706.2473158594.

The spelling of 4967363520 in words is "four billion, nine hundred sixty-seven million, three hundred sixty-three thousand, five hundred twenty".