612515379840 has 768 divisors, whose sum is σ = 2494374912000. Its totient is φ = 125050798080.

The previous prime is 612515379821. The next prime is 612515379857. The reversal of 612515379840 is 48973515216.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70407811 + ... + 70416509.

It is an arithmetic number, because the mean of its divisors is an integer number (3247884000).

It is a 1-persistent number, because it is pandigital, but 2⋅612515379840 = 1225030759680 is not.

Almost surely, 2^612515379840 is an apocalyptic number.

612515379840 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 612515379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247187456000).

612515379840 is an abundant number, since it is smaller than the sum of its proper divisors (1881859532160).

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

612515379840 is a wasteful number, since it uses less digits than its factorization.

612515379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8785 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 612515379840 in words is "six hundred twelve billion, five hundred fifteen million, three hundred seventy-nine thousand, eight hundred forty".