649120262400 has 567 divisors, whose sum is σ = 2415384656139. Its totient is φ = 172634664960.

The previous prime is 649120262383. The next prime is 649120262423. The reversal of 649120262400 is 4262021946.

The square root of 649120262400 is 805680.

It is a perfect power (a square), and thus also a powerful number.

649120262400 is a `hidden beast` number, since 6 + 4 + 9 + 1 + 20 + 2 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6249851136 + 642870411264 = 79056^2 + 801792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1740268614 + ... + 1740268986.

Almost surely, 2^649120262400 is an apocalyptic number.

649120262400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

649120262400 is the 805680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649120262400

649120262400 is an abundant number, since it is smaller than the sum of its proper divisors (1766264393739).

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

649120262400 is an frugal number, since it uses more digits than its factorization.

649120262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 649120262400 by its sum of digits (36), we get a square (23368329446400 = 4834080²).

649120262400 divided by its sum of digits (36) gives a square (18031118400 = 134280²).

The spelling of 649120262400 in words is "six hundred forty-nine billion, one hundred twenty million, two hundred sixty-two thousand, four hundred".