4651292880 has 240 divisors, whose sum is σ = 16870076496. Its totient is φ = 1141678080.

The previous prime is 4651292801. The next prime is 4651292887. The reversal of 4651292880 is 882921564.

4651292880 is a `hidden beast` number, since 46 + 512 + 92 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2274145344 + 2377147536 = 47688^2 + 48756^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4651292887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6111700 + ... + 6112460.

Almost surely, 2^4651292880 is an apocalyptic number.

4651292880 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 4651292880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8435038248).

4651292880 is an abundant number, since it is smaller than the sum of its proper divisors (12218783616).

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

4651292880 is a wasteful number, since it uses less digits than its factorization.

4651292880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4651292880 is about 68200.3876821826. The cubic root of 4651292880 is about 1669.2622124979.

The spelling of 4651292880 in words is "four billion, six hundred fifty-one million, two hundred ninety-two thousand, eight hundred eighty".