7634872874880 has 256 divisors, whose sum is σ = 28215836006400. Its totient is φ = 1947445733376.

The previous prime is 7634872874879. The next prime is 7634872874899. The reversal of 7634872874880 is 884782784367.

7634872874880 is a `hidden beast` number, since 7 + 6 + 3 + 487 + 28 + 7 + 48 + 80 = 666.

It is a super-2 number, since 2×7634872874880² (a number of 27 digits) contains 22 as substring.

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 = 7634872874799 and 7634872874808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9207624 + ... + 10002503.

It is an arithmetic number, because the mean of its divisors is an integer number (110218109400).

Almost surely, 2^{7634872874880} is an apocalyptic number.

It is an amenable number.

7634872874880 is an abundant number, since it is smaller than the sum of its proper divisors (20580963131520).

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

7634872874880 is a wasteful number, since it uses less digits than its factorization.

7634872874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19210178 (or 19210160 counting only the distinct ones).

The product of its (nonzero) digits is 809238528, while the sum is 72.

The spelling of 7634872874880 in words is "seven trillion, six hundred thirty-four billion, eight hundred seventy-two million, eight hundred seventy-four thousand, eight hundred eighty".