649848407040 has 2112 divisors, whose sum is σ = 2884104437760. Its totient is φ = 137116385280.

The previous prime is 649848406969. The next prime is 649848407059. The reversal of 649848407040 is 40704848946.

649848407040 is a `hidden beast` number, since 6 + 4 + 98 + 484 + 0 + 70 + 4 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7829498839 + ... + 7829498921.

Almost surely, 2^649848407040 is an apocalyptic number.

649848407040 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 649848407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442052218880).

649848407040 is an abundant number, since it is smaller than the sum of its proper divisors (2234256030720).

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

649848407040 is a wasteful number, since it uses less digits than its factorization.

649848407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 649848407040 in words is "six hundred forty-nine billion, eight hundred forty-eight million, four hundred seven thousand, forty".