642413056320 has 448 divisors, whose sum is σ = 2591828029440. Its totient is φ = 146736285696.

The previous prime is 642413056297. The next prime is 642413056343. The reversal of 642413056320 is 23650314246.

642413056320 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 13 + 0 + 5 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (642413056297) and next prime (642413056343).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121138789 + ... + 121144091.

Almost surely, 2^642413056320 is an apocalyptic number.

642413056320 is a gapful number since it is divisible by the number (60) 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 642413056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295914014720).

642413056320 is an abundant number, since it is smaller than the sum of its proper divisors (1949414973120).

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

642413056320 is a wasteful number, since it uses less digits than its factorization.

642413056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339 (or 7323 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 642413056320 in words is "six hundred forty-two billion, four hundred thirteen million, fifty-six thousand, three hundred twenty".