616934190240 has 144 divisors (see below), whose sum is σ = 2106589893408. Its totient is φ = 164414043648.

The previous prime is 616934190199. The next prime is 616934190253. The reversal of 616934190240 is 42091439616.

616934190240 is a `hidden beast` number, since 6 + 1 + 69 + 341 + 9 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×616934190240² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 2211219 + ... + 2474541.

It is an arithmetic number, because the mean of its divisors is an integer number (14629096482).

Almost surely, 2^616934190240 is an apocalyptic number.

616934190240 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 616934190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053294946704).

616934190240 is an abundant number, since it is smaller than the sum of its proper divisors (1489655703168).

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

616934190240 is a wasteful number, since it uses less digits than its factorization.

616934190240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264971 (or 264960 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 616934190240 in words is "six hundred sixteen billion, nine hundred thirty-four million, one hundred ninety thousand, two hundred forty".