10612607040 has 784 divisors, whose sum is σ = 44401752192. Its totient is φ = 2364899328.

The previous prime is 10612606999. The next prime is 10612607041. The reversal of 10612607040 is 4070621601.

10612607040 is a `hidden beast` number, since 1 + 0 + 6 + 12 + 607 + 0 + 40 = 666.

It is a super-2 number, since 2×10612607040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10612606995 and 10612607013.

It is not an unprimeable number, because it can be changed into a prime (10612607041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 109408272 + ... + 109408368.

It is an arithmetic number, because the mean of its divisors is an integer number (56634888).

Almost surely, 2^10612607040 is an apocalyptic number.

10612607040 is a gapful number since it is divisible by the number (10) 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 10612607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22200876096).

10612607040 is an abundant number, since it is smaller than the sum of its proper divisors (33789145152).

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

10612607040 is an frugal number, since it uses more digits than its factorization.

10612607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10612607040 in words is "ten billion, six hundred twelve million, six hundred seven thousand, forty".