1649077920 has 384 divisors, whose sum is σ = 6886010880. Its totient is φ = 360391680.

The previous prime is 1649077919. The next prime is 1649077949. The reversal of 1649077920 is 297709461.

1649077920 is a `hidden beast` number, since 1 + 6 + 490 + 77 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 694335 + ... + 696705.

It is an arithmetic number, because the mean of its divisors is an integer number (17932320).

Almost surely, 2^1649077920 is an apocalyptic number.

1649077920 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 1649077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443005440).

1649077920 is an abundant number, since it is smaller than the sum of its proper divisors (5236932960).

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

1649077920 is a wasteful number, since it uses less digits than its factorization.

1649077920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1649077920 is about 40608.8404168353. The cubic root of 1649077920 is about 1181.4455901875.

The spelling of 1649077920 in words is "one billion, six hundred forty-nine million, seventy-seven thousand, nine hundred twenty".