10582379640 has 384 divisors, whose sum is σ = 41798540160. Its totient is φ = 2266693632.

The previous prime is 10582379597. The next prime is 10582379677. The reversal of 10582379640 is 4697328501.

10582379640 is a `hidden beast` number, since 1 + 0 + 582 + 3 + 7 + 9 + 64 + 0 = 666.

It is a super-2 number, since 2×10582379640² (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 95 ways as a sum of consecutive naturals, for example, 14436714 + ... + 14437446.

It is an arithmetic number, because the mean of its divisors is an integer number (108850365).

It is a 1-persistent number, because it is pandigital, but 2⋅10582379640 = 21164759280 is not.

Almost surely, 2^10582379640 is an apocalyptic number.

10582379640 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 10582379640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20899270080).

10582379640 is an abundant number, since it is smaller than the sum of its proper divisors (31216160520).

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

10582379640 is a wasteful number, since it uses less digits than its factorization.

10582379640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10582379640 in words is "ten billion, five hundred eighty-two million, three hundred seventy-nine thousand, six hundred forty".