10620272640 has 512 divisors, whose sum is σ = 38050145280. Its totient is φ = 2516582400.

The previous prime is 10620272627. The next prime is 10620272647. The reversal of 10620272640 is 4627202601.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×10620272640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10620272598 and 10620272607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10620272647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259031020 + ... + 259031060.

It is an arithmetic number, because the mean of its divisors is an integer number (74316690).

Almost surely, 2^10620272640 is an apocalyptic number.

10620272640 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 10620272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19025072640).

10620272640 is an abundant number, since it is smaller than the sum of its proper divisors (27429872640).

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

10620272640 is an equidigital number, since it uses as much as digits as its factorization.

10620272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 10620272640 in words is "ten billion, six hundred twenty million, two hundred seventy-two thousand, six hundred forty".