4906681920 has 280 divisors, whose sum is σ = 19948087104. Its totient is φ = 1121485824.

The previous prime is 4906681877. The next prime is 4906681991. The reversal of 4906681920 is 291866094.

It is a happy number.

4906681920 is a `hidden beast` number, since 490 + 66 + 81 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167919 + ... + 194961.

Almost surely, 2^4906681920 is an apocalyptic number.

4906681920 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 4906681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974043552).

4906681920 is an abundant number, since it is smaller than the sum of its proper divisors (15041405184).

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

4906681920 is a wasteful number, since it uses less digits than its factorization.

4906681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27079 (or 27060 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4906681920 is about 70047.7117399277. The cubic root of 4906681920 is about 1699.2709584463.

The spelling of 4906681920 in words is "four billion, nine hundred six million, six hundred eighty-one thousand, nine hundred twenty".