10660742400 has 432 divisors, whose sum is σ = 43870192128. Its totient is φ = 2214912000.

The previous prime is 10660742353. The next prime is 10660742423. The reversal of 10660742400 is 424706601.

It is a super-2 number, since 2×10660742400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1474795 + ... + 1482005.

Almost surely, 2^10660742400 is an apocalyptic number.

10660742400 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 10660742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21935096064).

10660742400 is an abundant number, since it is smaller than the sum of its proper divisors (33209449728).

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

10660742400 is a wasteful number, since it uses less digits than its factorization.

10660742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7258 (or 7239 counting only the distinct ones).

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

The spelling of 10660742400 in words is "ten billion, six hundred sixty million, seven hundred forty-two thousand, four hundred".