649715040 has 384 divisors, whose sum is σ = 2560481280. Its totient is φ = 152672256.

The previous prime is 649715029. The next prime is 649715093. The reversal of 649715040 is 40517946.

649715040 is a `hidden beast` number, since 64 + 97 + 1 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 649714986 and 649715004.

It is a congruent number.

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, 1291429 + ... + 1291931.

It is an arithmetic number, because the mean of its divisors is an integer number (6667920).

Almost surely, 2^649715040 is an apocalyptic number.

649715040 is a gapful number since it is divisible by the number (60) 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 649715040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280240640).

649715040 is an abundant number, since it is smaller than the sum of its proper divisors (1910766240).

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

649715040 is a wasteful number, since it uses less digits than its factorization.

649715040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 649715040 is about 25489.5084299403. The cubic root of 649715040 is about 866.1125004300.

The spelling of 649715040 in words is "six hundred forty-nine million, seven hundred fifteen thousand, forty".