4953674880 has 1280 divisors, whose sum is σ = 23672943360. Its totient is φ = 955514880.

The previous prime is 4953674857. The next prime is 4953674917. The reversal of 4953674880 is 884763594.

4953674880 is a `hidden beast` number, since 495 + 3 + 6 + 74 + 8 + 80 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 67858524 + ... + 67858596.

It is an arithmetic number, because the mean of its divisors is an integer number (18494487).

Almost surely, 2^4953674880 is an apocalyptic number.

4953674880 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 4953674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11836471680).

4953674880 is an abundant number, since it is smaller than the sum of its proper divisors (18719268480).

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

4953674880 is a wasteful number, since it uses less digits than its factorization.

4953674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 4953674880 is about 70382.3477869274. The cubic root of 4953674880 is about 1704.6785633128.

The spelling of 4953674880 in words is "four billion, nine hundred fifty-three million, six hundred seventy-four thousand, eight hundred eighty".