245464746376680 has 512 divisors, whose sum is σ = 913362428160000. Its totient is φ = 58273551028224.

The previous prime is 245464746376649. The next prime is 245464746376687. The reversal of 245464746376680 is 86673647464542.

245464746376680 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 6 + 474 + 6 + 3 + 76 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 245464746376599 and 245464746376608.

It is not an unprimeable number, because it can be changed into a prime (245464746376687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223756951 + ... + 224851289.

It is an arithmetic number, because the mean of its divisors is an integer number (1783910992500).

Almost surely, 2^{245464746376680} is an apocalyptic number.

245464746376680 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 245464746376680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456681214080000).

245464746376680 is an abundant number, since it is smaller than the sum of its proper divisors (667897681783320).

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

245464746376680 is a wasteful number, since it uses less digits than its factorization.

245464746376680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095038 (or 1095028 counting only the distinct ones).

The product of its (nonzero) digits is 3901685760, while the sum is 72.

The spelling of 245464746376680 in words is "two hundred forty-five trillion, four hundred sixty-four billion, seven hundred forty-six million, three hundred seventy-six thousand, six hundred eighty".