4661625782880 has 576 divisors, whose sum is σ = 17477675062848. Its totient is φ = 1122059796480.

The previous prime is 4661625782833. The next prime is 4661625782909. The reversal of 4661625782880 is 882875261664.

4661625782880 is a `hidden beast` number, since 4 + 6 + 616 + 2 + 5 + 7 + 8 + 2 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×4661625782880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1912853022 + ... + 1912855458.

It is an arithmetic number, because the mean of its divisors is an integer number (30343185873).

Almost surely, 2^{4661625782880} is an apocalyptic number.

4661625782880 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 4661625782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738837531424).

4661625782880 is an abundant number, since it is smaller than the sum of its proper divisors (12816049279968).

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

4661625782880 is a wasteful number, since it uses less digits than its factorization.

4661625782880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 4661625782880 in words is "four trillion, six hundred sixty-one billion, six hundred twenty-five million, seven hundred eighty-two thousand, eight hundred eighty".