5477661420840 has 640 divisors, whose sum is σ = 21484155813120. Its totient is φ = 1225779609600.

The previous prime is 5477661420811. The next prime is 5477661420851. The reversal of 5477661420840 is 480241667745.

5477661420840 is a `hidden beast` number, since 5 + 477 + 66 + 14 + 20 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 590197000 + ... + 590206280.

It is an arithmetic number, because the mean of its divisors is an integer number (33568993458).

Almost surely, 2^{5477661420840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5477661420840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10742077906560).

5477661420840 is an abundant number, since it is smaller than the sum of its proper divisors (16006494392280).

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

5477661420840 is a wasteful number, since it uses less digits than its factorization.

5477661420840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9855 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 5477661420840 in words is "five trillion, four hundred seventy-seven billion, six hundred sixty-one million, four hundred twenty thousand, eight hundred forty".