10627626440 has 64 divisors (see below), whose sum is σ = 25401816000. Its totient is φ = 3990332160.

The previous prime is 10627626419. The next prime is 10627626461. The reversal of 10627626440 is 4462672601.

It is an interprime number because it is at equal distance from previous prime (10627626419) and next prime (10627626461).

It is a super-2 number, since 2×10627626440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 10627626394 and 10627626403.

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, 18695 + ... + 146985.

It is an arithmetic number, because the mean of its divisors is an integer number (396903375).

Almost surely, 2^10627626440 is an apocalyptic number.

10627626440 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 10627626440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700908000).

10627626440 is an abundant number, since it is smaller than the sum of its proper divisors (14774189560).

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

10627626440 is a wasteful number, since it uses less digits than its factorization.

10627626440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128430 (or 128426 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 10627626440 in words is "ten billion, six hundred twenty-seven million, six hundred twenty-six thousand, four hundred forty".