10007444700 has 432 divisors, whose sum is σ = 36738898560. Its totient is φ = 2340576000.

The previous prime is 10007444669. The next prime is 10007444737. The reversal of 10007444700 is 744470001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7751055 + ... + 7752345.

Almost surely, 2^10007444700 is an apocalyptic number.

10007444700 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 10007444700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18369449280).

10007444700 is an abundant number, since it is smaller than the sum of its proper divisors (26731453860).

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

10007444700 is a wasteful number, since it uses less digits than its factorization.

10007444700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 10007444700 in words is "ten billion, seven million, four hundred forty-four thousand, seven hundred".