4906967040 has 672 divisors, whose sum is σ = 19321454880. Its totient is φ = 1189085184.

The previous prime is 4906967017. The next prime is 4906967101. The reversal of 4906967040 is 407696094.

4906967040 is a `hidden beast` number, since 490 + 6 + 96 + 70 + 4 + 0 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3480 × 408 × 3456.

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, 169205746 + ... + 169205774.

It is an arithmetic number, because the mean of its divisors is an integer number (28752165).

Almost surely, 2^4906967040 is an apocalyptic number.

4906967040 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 4906967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9660727440).

4906967040 is an abundant number, since it is smaller than the sum of its proper divisors (14414487840).

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

4906967040 is an equidigital number, since it uses as much as digits as its factorization.

4906967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4906967040 is about 70049.7468946177. The cubic root of 4906967040 is about 1699.3038718461.

The spelling of 4906967040 in words is "four billion, nine hundred six million, nine hundred sixty-seven thousand, forty".