649491182903040 has 288 divisors, whose sum is σ = 2076902164786176. Its totient is φ = 172981477294080.

The previous prime is 649491182903027. The next prime is 649491182903047. The reversal of 649491182903040 is 40309281194946.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649491182903047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37966390167 + ... + 37966407273.

It is an arithmetic number, because the mean of its divisors is an integer number (7211465849952).

Almost surely, 2^{649491182903040} is an apocalyptic number.

649491182903040 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 649491182903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038451082393088).

649491182903040 is an abundant number, since it is smaller than the sum of its proper divisors (1427410981883136).

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

649491182903040 is a wasteful number, since it uses less digits than its factorization.

649491182903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28895 (or 28881 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 649491182903040 in words is "six hundred forty-nine trillion, four hundred ninety-one billion, one hundred eighty-two million, nine hundred three thousand, forty".