10306676640 has 192 divisors, whose sum is σ = 36091948032. Its totient is φ = 2455142400.

The previous prime is 10306676629. The next prime is 10306676657. The reversal of 10306676640 is 4667660301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 166800 + ... + 220080.

It is an arithmetic number, because the mean of its divisors is an integer number (187978896).

Almost surely, 2^10306676640 is an apocalyptic number.

10306676640 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 10306676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18045974016).

10306676640 is an abundant number, since it is smaller than the sum of its proper divisors (25785271392).

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

10306676640 is a wasteful number, since it uses less digits than its factorization.

10306676640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53343 (or 53335 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 10306676640 in words is "ten billion, three hundred six million, six hundred seventy-six thousand, six hundred forty".