15400633644 has 180 divisors, whose sum is σ = 43614916800. Its totient is φ = 4580769600.

The previous prime is 15400633579. The next prime is 15400633697. The reversal of 15400633644 is 44633600451.

15400633644 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 0 + 6 + 3 + 3 + 644 = 666.

15400633644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 15400633599 and 15400633608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32151397 + ... + 32151875.

Almost surely, 2^15400633644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15400633644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21807458400).

15400633644 is an abundant number, since it is smaller than the sum of its proper divisors (28214283156).

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

15400633644 is a wasteful number, since it uses less digits than its factorization.

15400633644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 15400633644 in words is "fifteen billion, four hundred million, six hundred thirty-three thousand, six hundred forty-four".