3618630750456 has 384 divisors, whose sum is σ = 10861974720000. Its totient is φ = 1115703590400.

The previous prime is 3618630750379. The next prime is 3618630750481. The reversal of 3618630750456 is 6540570368163.

3618630750456 is a `hidden beast` number, since 3 + 6 + 1 + 86 + 3 + 0 + 7 + 504 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 694685580 + ... + 694690788.

It is an arithmetic number, because the mean of its divisors is an integer number (28286392500).

Almost surely, 2^{3618630750456} is an apocalyptic number.

3618630750456 is a gapful number since it is divisible by the number (36) 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 3618630750456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430987360000).

3618630750456 is an abundant number, since it is smaller than the sum of its proper divisors (7243343969544).

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

3618630750456 is a wasteful number, since it uses less digits than its factorization.

3618630750456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 3618630750456 in words is "three trillion, six hundred eighteen billion, six hundred thirty million, seven hundred fifty thousand, four hundred fifty-six".