10007687620 has 48 divisors (see below), whose sum is σ = 24071160960. Its totient is φ = 3423677184.

The previous prime is 10007687611. The next prime is 10007687639. The reversal of 10007687620 is 2678670001.

It is a happy number.

It is a super-2 number, since 2×10007687620² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10007687620.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14230 + ... + 142189.

It is an arithmetic number, because the mean of its divisors is an integer number (501482520).

Almost surely, 2^10007687620 is an apocalyptic number.

10007687620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10007687620 is an abundant number, since it is smaller than the sum of its proper divisors (14063473340).

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

10007687620 is a wasteful number, since it uses less digits than its factorization.

10007687620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156892 (or 156890 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 10007687620 in words is "ten billion, seven million, six hundred eighty-seven thousand, six hundred twenty".