613401003677280 has 384 divisors, whose sum is σ = 2454821689614336. Its totient is φ = 125246004019200.

The previous prime is 613401003677261. The next prime is 613401003677299. The reversal of 613401003677280 is 82776300104316.

613401003677280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (613401003677261) and next prime (613401003677299).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225146941 + ... + 227855100.

It is an arithmetic number, because the mean of its divisors is an integer number (6392764816704).

Almost surely, 2^{613401003677280} is an apocalyptic number.

613401003677280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

613401003677280 is an abundant number, since it is smaller than the sum of its proper divisors (1841420685937056).

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

613401003677280 is a wasteful number, since it uses less digits than its factorization.

613401003677280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453002110 (or 453002102 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 613401003677280 in words is "six hundred thirteen trillion, four hundred one billion, three million, six hundred seventy-seven thousand, two hundred eighty".