613472520960 has 1152 divisors, whose sum is σ = 2563407544320. Its totient is φ = 137487974400.

The previous prime is 613472520949. The next prime is 613472520967. The reversal of 613472520960 is 69025274316.

613472520960 is a `hidden beast` number, since 6 + 1 + 34 + 7 + 2 + 520 + 96 + 0 = 666.

613472520960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (613472520967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 236769265 + ... + 236771855.

It is an arithmetic number, because the mean of its divisors is an integer number (2225180160).

Almost surely, 2^613472520960 is an apocalyptic number.

613472520960 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 613472520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281703772160).

613472520960 is an abundant number, since it is smaller than the sum of its proper divisors (1949935023360).

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

613472520960 is a wasteful number, since it uses less digits than its factorization.

613472520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 613472520960 in words is "six hundred thirteen billion, four hundred seventy-two million, five hundred twenty thousand, nine hundred sixty".