3553607649564 has 384 divisors, whose sum is σ = 11754447667200. Its totient is φ = 903823764480.

The previous prime is 3553607649541. The next prime is 3553607649653. The reversal of 3553607649564 is 4659467063553.

3553607649564 is a `hidden beast` number, since 3 + 5 + 5 + 3 + 6 + 0 + 7 + 64 + 9 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154071097 + ... + 154094159.

It is an arithmetic number, because the mean of its divisors is an integer number (30610540800).

Almost surely, 2^{3553607649564} is an apocalyptic number.

3553607649564 is a gapful number since it is divisible by the number (34) 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 3553607649564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877223833600).

3553607649564 is an abundant number, since it is smaller than the sum of its proper divisors (8200840017636).

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

3553607649564 is a wasteful number, since it uses less digits than its factorization.

3553607649564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23750 (or 23742 counting only the distinct ones).

The product of its (nonzero) digits is 244944000, while the sum is 63.

The spelling of 3553607649564 in words is "three trillion, five hundred fifty-three billion, six hundred seven million, six hundred forty-nine thousand, five hundred sixty-four".