1620351786240 has 2880 divisors, whose sum is σ = 7145724579840. Its totient is φ = 346135265280.

The previous prime is 1620351786211. The next prime is 1620351786241. The reversal of 1620351786240 is 426871530261.

1620351786240 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 3 + 5 + 17 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1620351786240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1620351786241) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 34475569897 + ... + 34475569943.

It is an arithmetic number, because the mean of its divisors is an integer number (2481154368).

Almost surely, 2^{1620351786240} is an apocalyptic number.

1620351786240 is a gapful number since it is divisible by the number (10) 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 1620351786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572862289920).

1620351786240 is an abundant number, since it is smaller than the sum of its proper divisors (5525372793600).

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

1620351786240 is a wasteful number, since it uses less digits than its factorization.

1620351786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1620351786240 in words is "one trillion, six hundred twenty billion, three hundred fifty-one million, seven hundred eighty-six thousand, two hundred forty".