552479679037440 has 6480 divisors, whose sum is σ = 2638817636861952. Its totient is φ = 110361968640000.

The previous prime is 552479679037393. The next prime is 552479679037441. The reversal of 552479679037440 is 44730976974255.

552479679037440 is a `hidden beast` number, since 5 + 5 + 2 + 4 + 7 + 9 + 67 + 90 + 37 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552479679037441) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3658805821365 + ... + 3658805821515.

Almost surely, 2^{552479679037440} 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 552479679037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319408818430976).

552479679037440 is an abundant number, since it is smaller than the sum of its proper divisors (2086337957824512).

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

552479679037440 is a wasteful number, since it uses less digits than its factorization.

552479679037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1600300800, while the sum is 72.

The spelling of 552479679037440 in words is "five hundred fifty-two trillion, four hundred seventy-nine billion, six hundred seventy-nine million, thirty-seven thousand, four hundred forty".