7435148890680 has 256 divisors, whose sum is σ = 28599373670400. Its totient is φ = 1682962790400.

The previous prime is 7435148890661. The next prime is 7435148890747. The reversal of 7435148890680 is 860988415347.

7435148890680 is a `hidden beast` number, since 7 + 4 + 3 + 5 + 1 + 488 + 90 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3995521 + ... + 5552880.

It is an arithmetic number, because the mean of its divisors is an integer number (111716303400).

Almost surely, 2^{7435148890680} is an apocalyptic number.

7435148890680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7435148890680 is an abundant number, since it is smaller than the sum of its proper divisors (21164224779720).

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

7435148890680 is a wasteful number, since it uses less digits than its factorization.

7435148890680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548531 (or 9548521 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 7435148890680 in words is "seven trillion, four hundred thirty-five billion, one hundred forty-eight million, eight hundred ninety thousand, six hundred eighty".