3640616550400 has 120 divisors (see below), whose sum is σ = 9028752940350. Its totient is φ = 1456241377280.

The previous prime is 3640616550383. The next prime is 3640616550413. The reversal of 3640616550400 is 40556160463.

It can be written as a sum of positive squares in 3 ways, for example, as 1966636007424 + 1673980542976 = 1402368^2 + 1293824^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12968322 + ... + 13246078.

Almost surely, 2^{3640616550400} 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 3640616550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514376470175).

3640616550400 is an abundant number, since it is smaller than the sum of its proper divisors (5388136389950).

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

3640616550400 is an frugal number, since it uses more digits than its factorization.

3640616550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277805 (or 277764 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 3640616550400 in words is "three trillion, six hundred forty billion, six hundred sixteen million, five hundred fifty thousand, four hundred".