4926504960 has 384 divisors, whose sum is σ = 18463568760. Its totient is φ = 1207959552.

The previous prime is 4926504959. The next prime is 4926505009. The reversal of 4926504960 is 694056294.

4926504960 is a `hidden beast` number, since 492 + 65 + 0 + 49 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4413210624 + 513294336 = 66432^2 + 22656^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4926504960² = 48540902241809203200, which contains 22 as substring.

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

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19169152 + ... + 19169408.

Almost surely, 2^4926504960 is an apocalyptic number.

4926504960 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 4926504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9231784380).

4926504960 is an abundant number, since it is smaller than the sum of its proper divisors (13537063800).

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

4926504960 is a wasteful number, since it uses less digits than its factorization.

4926504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4926504960 is about 70189.0658151254. The cubic root of 4926504960 is about 1701.5562404407.

The spelling of 4926504960 in words is "four billion, nine hundred twenty-six million, five hundred four thousand, nine hundred sixty".