355378544640 has 900 divisors, whose sum is σ = 1483424609436. Its totient is φ = 81155063808.

The previous prime is 355378544629. The next prime is 355378544671. The reversal of 355378544640 is 46445873553.

355378544640 is a `hidden beast` number, since 3 + 5 + 5 + 37 + 8 + 544 + 64 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 266355081216 + 89023463424 = 516096^2 + 298368^2 .

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 59 ways as a sum of consecutive naturals, for example, 325139934 + ... + 325141026.

Almost surely, 2^355378544640 is an apocalyptic number.

355378544640 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 355378544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741712304718).

355378544640 is an abundant number, since it is smaller than the sum of its proper divisors (1128046064796).

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

355378544640 is an equidigital number, since it uses as much as digits as its factorization.

355378544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 355378544640 in words is "three hundred fifty-five billion, three hundred seventy-eight million, five hundred forty-four thousand, six hundred forty".