245820270640 has 320 divisors, whose sum is σ = 709530015744. Its totient is φ = 77277118464.

The previous prime is 245820270629. The next prime is 245820270659. The reversal of 245820270640 is 46072028542.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 245820270593 and 245820270602.

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, 277136277 + ... + 277137163.

Almost surely, 2^245820270640 is an apocalyptic number.

245820270640 is a gapful number since it is divisible by the number (20) 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 245820270640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354765007872).

245820270640 is an abundant number, since it is smaller than the sum of its proper divisors (463709745104).

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

245820270640 is a wasteful number, since it uses less digits than its factorization.

245820270640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 245820270640 in words is "two hundred forty-five billion, eight hundred twenty million, two hundred seventy thousand, six hundred forty".