4960977840 has 800 divisors, whose sum is σ = 21778606080. Its totient is φ = 1018718208.

The previous prime is 4960977839. The next prime is 4960977841. The reversal of 4960977840 is 487790694.

It is a happy number.

4960977840 is a `hidden beast` number, since 496 + 0 + 9 + 77 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4960977839) and next prime (4960977841).

It is a super-2 number, since 2×4960977840² = 49222602257942131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4960977841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27714871 + ... + 27715049.

Almost surely, 2^4960977840 is an apocalyptic number.

4960977840 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 4960977840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889303040).

4960977840 is an abundant number, since it is smaller than the sum of its proper divisors (16817628240).

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

4960977840 is a wasteful number, since it uses less digits than its factorization.

4960977840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 4960977840 is about 70434.2093020146. The cubic root of 4960977840 is about 1705.5158599946.

It can be divided in two parts, 49609 and 77840, that added together give a square (127449 = 357²).

The spelling of 4960977840 in words is "four billion, nine hundred sixty million, nine hundred seventy-seven thousand, eight hundred forty".