610438006080 has 392 divisors, whose sum is σ = 2490762396672. Its totient is φ = 139528313856.

The previous prime is 610438006069. The next prime is 610438006103. The reversal of 610438006080 is 80600834016.

It is a happy number.

610438006080 is a `hidden beast` number, since 6 + 1 + 0 + 43 + 8 + 0 + 0 + 608 + 0 = 666.

It is a super-2 number, since 2×610438006080² (a number of 24 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 1446049 + ... + 1819871.

Almost surely, 2^610438006080 is an apocalyptic number.

610438006080 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 610438006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245381198336).

610438006080 is an abundant number, since it is smaller than the sum of its proper divisors (1880324390592).

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

610438006080 is an equidigital number, since it uses as much as digits as its factorization.

610438006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373865 (or 373840 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 610438006080 in words is "six hundred ten billion, four hundred thirty-eight million, six thousand, eighty".