107249897664 has 448 divisors, whose sum is σ = 408490521600. Its totient is φ = 26796220416.

The previous prime is 107249897663. The next prime is 107249897693. The reversal of 107249897664 is 466798942701.

107249897664 is a `hidden beast` number, since 1 + 0 + 72 + 498 + 9 + 76 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (107249897663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2969764 + ... + 3005660.

It is an arithmetic number, because the mean of its divisors is an integer number (911809200).

Almost surely, 2^107249897664 is an apocalyptic number.

107249897664 is a gapful number since it is divisible by the number (14) 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 107249897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204245260800).

107249897664 is an abundant number, since it is smaller than the sum of its proper divisors (301240623936).

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

107249897664 is a wasteful number, since it uses less digits than its factorization.

107249897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35957 (or 35941 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 107249897664 in words is "one hundred seven billion, two hundred forty-nine million, eight hundred ninety-seven thousand, six hundred sixty-four".