356778509640 has 256 divisors, whose sum is σ = 1254053560320. Its totient is φ = 79508490240.

The previous prime is 356778509639. The next prime is 356778509653. The reversal of 356778509640 is 46905877653.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10366060 + ... + 10400420.

It is an arithmetic number, because the mean of its divisors is an integer number (4898646720).

Almost surely, 2^356778509640 is an apocalyptic number.

356778509640 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 356778509640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627026780160).

356778509640 is an abundant number, since it is smaller than the sum of its proper divisors (897275050680).

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

356778509640 is a wasteful number, since it uses less digits than its factorization.

356778509640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34692 (or 34688 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 356778509640 in words is "three hundred fifty-six billion, seven hundred seventy-eight million, five hundred nine thousand, six hundred forty".