10356746400 has 1152 divisors, whose sum is σ = 50396774400. Its totient is φ = 1982361600.

The previous prime is 10356746363. The next prime is 10356746417. The reversal of 10356746400 is 464765301.

It is a happy number.

10356746400 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 6 + 7 + 4 + 640 + 0 = 666.

It is a super-3 number, since 3×10356746400³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21621361 + ... + 21621839.

It is an arithmetic number, because the mean of its divisors is an integer number (43747200).

Almost surely, 2^10356746400 is an apocalyptic number.

10356746400 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 10356746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25198387200).

10356746400 is an abundant number, since it is smaller than the sum of its proper divisors (40040028000).

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

10356746400 is a wasteful number, since it uses less digits than its factorization.

10356746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10356746400 in words is "ten billion, three hundred fifty-six million, seven hundred forty-six thousand, four hundred".