10069628400 has 540 divisors, whose sum is σ = 39304677048. Its totient is φ = 2474634240.

The previous prime is 10069628381. The next prime is 10069628419. The reversal of 10069628400 is 482696001.

It is an interprime number because it is at equal distance from previous prime (10069628381) and next prime (10069628419).

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×10069628400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16426494 + ... + 16427106.

Almost surely, 2^10069628400 is an apocalyptic number.

10069628400 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 10069628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19652338524).

10069628400 is an abundant number, since it is smaller than the sum of its proper divisors (29235048648).

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

10069628400 is a wasteful number, since it uses less digits than its factorization.

10069628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10069628400 in words is "ten billion, sixty-nine million, six hundred twenty-eight thousand, four hundred".