245871476760 has 1536 divisors, whose sum is σ = 1035495014400. Its totient is φ = 46088663040.

The previous prime is 245871476749. The next prime is 245871476771. The reversal of 245871476760 is 67674178542.

It is an interprime number because it is at equal distance from previous prime (245871476749) and next prime (245871476771).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 245871476760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1935995817 + ... + 1935995943.

It is an arithmetic number, because the mean of its divisors is an integer number (674150400).

Almost surely, 2^245871476760 is an apocalyptic number.

245871476760 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 245871476760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517747507200).

245871476760 is an abundant number, since it is smaller than the sum of its proper divisors (789623537640).

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

245871476760 is a wasteful number, since it uses less digits than its factorization.

245871476760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 245871476760 in words is "two hundred forty-five billion, eight hundred seventy-one million, four hundred seventy-six thousand, seven hundred sixty".