914910506640 has 1600 divisors, whose sum is σ = 3892925836800. Its totient is φ = 196812177408.

The previous prime is 914910506597. The next prime is 914910506701. The reversal of 914910506640 is 46605019419.

It is a happy number.

914910506640 is a `hidden beast` number, since 9 + 14 + 91 + 0 + 506 + 6 + 40 = 666.

It is a super-2 number, since 2×914910506640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1067573092 + ... + 1067573948.

It is an arithmetic number, because the mean of its divisors is an integer number (2433078648).

Almost surely, 2^914910506640 is an apocalyptic number.

914910506640 is a gapful number since it is divisible by the number (90) 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 914910506640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946462918400).

914910506640 is an abundant number, since it is smaller than the sum of its proper divisors (2978015330160).

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

914910506640 is a wasteful number, since it uses less digits than its factorization.

914910506640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 914910506640 in words is "nine hundred fourteen billion, nine hundred ten million, five hundred six thousand, six hundred forty".