10678155264 has 384 divisors, whose sum is σ = 36953280000. Its totient is φ = 3045482496.

The previous prime is 10678155247. The next prime is 10678155289. The reversal of 10678155264 is 46255187601.

10678155264 is a `hidden beast` number, since 10 + 6 + 7 + 81 + 552 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10678155264² (a number of 21 digits) contains 22 as substring.

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, 18966247 + ... + 18966809.

It is an arithmetic number, because the mean of its divisors is an integer number (96232500).

Almost surely, 2^10678155264 is an apocalyptic number.

10678155264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10678155264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476640000).

10678155264 is an abundant number, since it is smaller than the sum of its proper divisors (26275124736).

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

10678155264 is an frugal number, since it uses more digits than its factorization.

10678155264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10678155264 in words is "ten billion, six hundred seventy-eight million, one hundred fifty-five thousand, two hundred sixty-four".