10679059440 has 400 divisors, whose sum is σ = 44623096320. Its totient is φ = 2312271360.

The previous prime is 10679059427. The next prime is 10679059483. The reversal of 10679059440 is 4495097601.

10679059440 is a `hidden beast` number, since 10 + 6 + 7 + 9 + 0 + 594 + 40 = 666.

It is a super-2 number, since 2×10679059440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 855645 + ... + 868035.

Almost surely, 2^10679059440 is an apocalyptic number.

10679059440 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 10679059440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311548160).

10679059440 is an abundant number, since it is smaller than the sum of its proper divisors (33944036880).

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

10679059440 is a wasteful number, since it uses less digits than its factorization.

10679059440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442 (or 12427 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10679059440 in words is "ten billion, six hundred seventy-nine million, fifty-nine thousand, four hundred forty".