1649420557560 has 896 divisors, whose sum is σ = 6125520360960. Its totient is φ = 397733068800.

The previous prime is 1649420557553. The next prime is 1649420557573. The reversal of 1649420557560 is 657550249461.

1649420557560 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 4 + 2 + 0 + 5 + 575 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1649420557497 and 1649420557506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2781484624 + ... + 2781485216.

It is an arithmetic number, because the mean of its divisors is an integer number (6836518260).

Almost surely, 2^{1649420557560} is an apocalyptic number.

1649420557560 is a gapful number since it is divisible by the number (10) 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 1649420557560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062760180480).

1649420557560 is an abundant number, since it is smaller than the sum of its proper divisors (4476099803400).

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

1649420557560 is a wasteful number, since it uses less digits than its factorization.

1649420557560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 1649420557560 in words is "one trillion, six hundred forty-nine billion, four hundred twenty million, five hundred fifty-seven thousand, five hundred sixty".