647040409600 has 336 divisors, whose sum is σ = 1819079196480. Its totient is φ = 226315468800.

The previous prime is 647040409573. The next prime is 647040409601. The reversal of 647040409600 is 6904040746.

It is a super-2 number, since 2×647040409600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (647040409601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50579205 + ... + 50591995.

It is an arithmetic number, because the mean of its divisors is an integer number (5413926180).

Almost surely, 2^647040409600 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 647040409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909539598240).

647040409600 is an abundant number, since it is smaller than the sum of its proper divisors (1172038786880).

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

647040409600 is a wasteful number, since it uses less digits than its factorization.

647040409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12859 (or 12830 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 647040409600 in words is "six hundred forty-seven billion, forty million, four hundred nine thousand, six hundred".