1613364480 has 1008 divisors, whose sum is σ = 7506549120. Its totient is φ = 322486272.

The previous prime is 1613364469. The next prime is 1613364517. The reversal of 1613364480 is 844633161.

It is a happy number.

1613364480 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 3 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 84913911 + ... + 84913929.

Almost surely, 2^1613364480 is an apocalyptic number.

1613364480 is a gapful number since it is divisible by the number (10) 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 1613364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753274560).

1613364480 is an abundant number, since it is smaller than the sum of its proper divisors (5893184640).

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

1613364480 is an equidigital number, since it uses as much as digits as its factorization.

1613364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1613364480 is about 40166.7086030210. The cubic root of 1613364480 is about 1172.8545682165.

The spelling of 1613364480 in words is "one billion, six hundred thirteen million, three hundred sixty-four thousand, four hundred eighty".