67735490625 has 384 divisors, whose sum is σ = 149435435520. Its totient is φ = 30326400000.

The previous prime is 67735490623. The next prime is 67735490633. The reversal of 67735490625 is 52609453776.

67735490625 is a `hidden beast` number, since 6 + 7 + 7 + 3 + 5 + 4 + 9 + 0 + 625 = 666.

It is not a de Polignac number, because 67735490625 - 2¹ = 67735490623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67735490623) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1278028099 + ... + 1278028151.

It is an arithmetic number, because the mean of its divisors is an integer number (389154780).

Almost surely, 2^67735490625 is an apocalyptic number.

It is an amenable number.

67735490625 is an abundant number, since it is smaller than the sum of its proper divisors (81699944895).

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

67735490625 is an frugal number, since it uses more digits than its factorization.

67735490625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 67735490625 in words is "sixty-seven billion, seven hundred thirty-five million, four hundred ninety thousand, six hundred twenty-five".