613573951003776 has 3072 divisors, whose sum is σ = 2422755753984000. Its totient is φ = 151529282150400.

The previous prime is 613573951003733. The next prime is 613573951003781. The reversal of 613573951003776 is 677300159375316.

It is a happy number.

613573951003776 is a `hidden beast` number, since 6 + 1 + 3 + 5 + 73 + 95 + 100 + 377 + 6 = 666.

It is a super-2 number, since 2×613573951003776² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 162881323045 + ... + 162881326811.

It is an arithmetic number, because the mean of its divisors is an integer number (788657472000).

Almost surely, 2^{613573951003776} 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 613573951003776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211377876992000).

613573951003776 is an abundant number, since it is smaller than the sum of its proper divisors (1809181802980224).

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

613573951003776 is a wasteful number, since it uses less digits than its factorization.

613573951003776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 75014100, while the sum is 63.

The spelling of 613573951003776 in words is "six hundred thirteen trillion, five hundred seventy-three billion, nine hundred fifty-one million, three thousand, seven hundred seventy-six".