5401763640 has 768 divisors, whose sum is σ = 23247544320. Its totient is φ = 1097349120.

The previous prime is 5401763639. The next prime is 5401763663. The reversal of 5401763640 is 463671045.

It is a happy number.

5401763640 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 7 + 6 + 3 + 640 = 666.

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 = 5401763595 and 5401763604.

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 191 ways as a sum of consecutive naturals, for example, 27420022 + ... + 27420218.

It is an arithmetic number, because the mean of its divisors is an integer number (30270240).

Almost surely, 2^5401763640 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 5401763640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11623772160).

5401763640 is an abundant number, since it is smaller than the sum of its proper divisors (17845780680).

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

5401763640 is a wasteful number, since it uses less digits than its factorization.

5401763640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

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

The square root of 5401763640 is about 73496.6913541011. The cubic root of 5401763640 is about 1754.6016189770.

The spelling of 5401763640 in words is "five billion, four hundred one million, seven hundred sixty-three thousand, six hundred forty".