649357632 has 252 divisors, whose sum is σ = 2339876448. Its totient is φ = 168664320.

The previous prime is 649357613. The next prime is 649357633. The reversal of 649357632 is 236753946.

649357632 is a `hidden beast` number, since 6 + 4 + 9 + 3 + 5 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

Its product of digits (816480) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649357633) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59032507 + ... + 59032517.

It is an arithmetic number, because the mean of its divisors is an integer number (9285224).

Almost surely, 2^649357632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649357632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169938224).

649357632 is an abundant number, since it is smaller than the sum of its proper divisors (1690518816).

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

649357632 is an frugal number, since it uses more digits than its factorization.

649357632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 649357632 is about 25482.4965809867. The cubic root of 649357632 is about 865.9536552456.

It can be divided in two parts, 649 and 357632, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 649357632 in words is "six hundred forty-nine million, three hundred fifty-seven thousand, six hundred thirty-two".