3562951956480 has 1152 divisors, whose sum is σ = 14670659727360. Its totient is φ = 782566686720.

The previous prime is 3562951956469. The next prime is 3562951956491. The reversal of 3562951956480 is 846591592653.

3562951956480 is a `hidden beast` number, since 3 + 5 + 6 + 2 + 95 + 19 + 56 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (3562951956469) and next prime (3562951956491).

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3259790814 + ... + 3259791906.

It is an arithmetic number, because the mean of its divisors is an integer number (12734947680).

Almost surely, 2^{3562951956480} is an apocalyptic number.

3562951956480 is a gapful number since it is divisible by the number (30) 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 3562951956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335329863680).

3562951956480 is an abundant number, since it is smaller than the sum of its proper divisors (11107707770880).

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

3562951956480 is a wasteful number, since it uses less digits than its factorization.

3562951956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 3562951956480 in words is "three trillion, five hundred sixty-two billion, nine hundred fifty-one million, nine hundred fifty-six thousand, four hundred eighty".