10677335616 has 42 divisors (see below), whose sum is σ = 30604656342. Its totient is φ = 3559111680.

The previous prime is 10677335597. The next prime is 10677335657. The reversal of 10677335616 is 61653377601.

10677335616 is a `hidden beast` number, since 10 + 6 + 7 + 73 + 3 + 561 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9820017216 + 857318400 = 99096^2 + 29280^2 .

It is a super-2 number, since 2×10677335616² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9267945 + ... + 9269096.

Almost surely, 2^10677335616 is an apocalyptic number.

10677335616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10677335616 is an abundant number, since it is smaller than the sum of its proper divisors (19927320726).

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

10677335616 is a wasteful number, since it uses less digits than its factorization.

10677335616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18537059 (or 18537046 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 10677335616 in words is "ten billion, six hundred seventy-seven million, three hundred thirty-five thousand, six hundred sixteen".