4526766720 has 576 divisors, whose sum is σ = 18914912640. Its totient is φ = 977080320.

The previous prime is 4526766707. The next prime is 4526766721. The reversal of 4526766720 is 276676254.

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

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

It is not an unprimeable number, because it can be changed into a prime (4526766721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14555365 + ... + 14555675.

It is an arithmetic number, because the mean of its divisors is an integer number (32838390).

Almost surely, 2^4526766720 is an apocalyptic number.

4526766720 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 4526766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9457456320).

4526766720 is an abundant number, since it is smaller than the sum of its proper divisors (14388145920).

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

4526766720 is a wasteful number, since it uses less digits than its factorization.

4526766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4526766720 is about 67281.2508801672. The cubic root of 4526766720 is about 1654.2305541744.

The spelling of 4526766720 in words is "four billion, five hundred twenty-six million, seven hundred sixty-six thousand, seven hundred twenty".