7428610710072 has 24 divisors (see below), whose sum is σ = 20119154006640. Its totient is φ = 2476203570000.

The previous prime is 7428610710067. The next prime is 7428610710097. The reversal of 7428610710072 is 2700170168247.

7428610710072 is a `hidden beast` number, since 7 + 4 + 28 + 610 + 7 + 1 + 0 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51587574304 + ... + 51587574447.

It is an arithmetic number, because the mean of its divisors is an integer number (838298083610).

Almost surely, 2^{7428610710072} is an apocalyptic number.

7428610710072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7428610710072 is an abundant number, since it is smaller than the sum of its proper divisors (12690543296568).

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

7428610710072 is a wasteful number, since it uses less digits than its factorization.

7428610710072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103175148763 (or 103175148756 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 7428610710072 in words is "seven trillion, four hundred twenty-eight billion, six hundred ten million, seven hundred ten thousand, seventy-two".