4969286784 has 576 divisors, whose sum is σ = 18611311680. Its totient is φ = 1257984000.

The previous prime is 4969286761. The next prime is 4969286801. The reversal of 4969286784 is 4876829694.

4969286784 is a `hidden beast` number, since 496 + 9 + 2 + 8 + 67 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4969286784² = 49387622283274125312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32909109 + ... + 32909259.

It is an arithmetic number, because the mean of its divisors is an integer number (32311305).

Almost surely, 2^4969286784 is an apocalyptic number.

4969286784 is a gapful number since it is divisible by the number (44) 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 4969286784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9305655840).

4969286784 is an abundant number, since it is smaller than the sum of its proper divisors (13642024896).

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

4969286784 is a wasteful number, since it uses less digits than its factorization.

4969286784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 4969286784 is about 70493.1683498479. The cubic root of 4969286784 is about 1706.4674957460.

The spelling of 4969286784 in words is "four billion, nine hundred sixty-nine million, two hundred eighty-six thousand, seven hundred eighty-four".