613762380 has 384 divisors, whose sum is σ = 2467584000. Its totient is φ = 122895360.

The previous prime is 613762363. The next prime is 613762399. The reversal of 613762380 is 83267316.

It is a happy number.

613762380 is a `hidden beast` number, since 613 + 7 + 6 + 2 + 38 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1205566 + ... + 1206074.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2^613762380 is an apocalyptic number.

613762380 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 613762380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792000).

613762380 is an abundant number, since it is smaller than the sum of its proper divisors (1853821620).

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

613762380 is a wasteful number, since it uses less digits than its factorization.

613762380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 613762380 is about 24774.2281413569. The cubic root of 613762380 is about 849.8326683299.

The spelling of 613762380 in words is "six hundred thirteen million, seven hundred sixty-two thousand, three hundred eighty".