4967136720 has 480 divisors, whose sum is σ = 20980657152. Its totient is φ = 1025077248.

The previous prime is 4967136703. The next prime is 4967136739. The reversal of 4967136720 is 276317694.

4967136720 is a `hidden beast` number, since 496 + 7 + 136 + 7 + 20 = 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3078634 + ... + 3080246.

Almost surely, 2^4967136720 is an apocalyptic number.

4967136720 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 4967136720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10490328576).

4967136720 is an abundant number, since it is smaller than the sum of its proper divisors (16013520432).

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

4967136720 is a wasteful number, since it uses less digits than its factorization.

4967136720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 4967136720 is about 70477.9165412826. The cubic root of 4967136720 is about 1706.2213475042.

The spelling of 4967136720 in words is "four billion, nine hundred sixty-seven million, one hundred thirty-six thousand, seven hundred twenty".