613414620000 has 2880 divisors, whose sum is σ = 2968743697920. Its totient is φ = 120932352000.

The previous prime is 613414619999. The next prime is 613414620029. The reversal of 613414620000 is 26414316.

613414620000 is a `hidden beast` number, since 6 + 1 + 34 + 1 + 4 + 620 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8402939964 + ... + 8402940036.

It is an arithmetic number, because the mean of its divisors is an integer number (1030813784).

Almost surely, 2^613414620000 is an apocalyptic number.

613414620000 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 613414620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484371848960).

613414620000 is an abundant number, since it is smaller than the sum of its proper divisors (2355329077920).

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

613414620000 is a wasteful number, since it uses less digits than its factorization.

613414620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 613414620000 in words is "six hundred thirteen billion, four hundred fourteen million, six hundred twenty thousand".