649165116337920 has 720 divisors, whose sum is σ = 2858869579177920. Its totient is φ = 136966703874048.

The previous prime is 649165116337877. The next prime is 649165116337921. The reversal of 649165116337920 is 29733611561946.

649165116337920 is a `hidden beast` number, since 6 + 4 + 9 + 1 + 6 + 511 + 63 + 37 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×649165116337920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649165116337921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24967525 + ... + 43837284.

Almost surely, 2^{649165116337920} is an apocalyptic number.

649165116337920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

649165116337920 is an abundant number, since it is smaller than the sum of its proper divisors (2209704462840000).

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

649165116337920 is a wasteful number, since it uses less digits than its factorization.

649165116337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68804862 (or 68804839 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 649165116337920 in words is "six hundred forty-nine trillion, one hundred sixty-five billion, one hundred sixteen million, three hundred thirty-seven thousand, nine hundred twenty".