4956413760 has 224 divisors, whose sum is σ = 17626705920. Its totient is φ = 1311012864.

The previous prime is 4956413741. The next prime is 4956413771. The reversal of 4956413760 is 673146594.

4956413760 is a `hidden beast` number, since 4 + 9 + 564 + 13 + 76 + 0 = 666.

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 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, 1095022 + ... + 1099538.

Almost surely, 2^4956413760 is an apocalyptic number.

4956413760 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 4956413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8813352960).

4956413760 is an abundant number, since it is smaller than the sum of its proper divisors (12670292160).

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

4956413760 is a wasteful number, since it uses less digits than its factorization.

4956413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4956413760 is about 70401.8022496584. The cubic root of 4956413760 is about 1704.9926769034.

The spelling of 4956413760 in words is "four billion, nine hundred fifty-six million, four hundred thirteen thousand, seven hundred sixty".