35640731788560 has 640 divisors, whose sum is σ = 126461159539200. Its totient is φ = 9222029107200.

The previous prime is 35640731788531. The next prime is 35640731788567. The reversal of 35640731788560 is 6588713704653.

It is a happy number.

35640731788560 is a `hidden beast` number, since 3 + 5 + 6 + 407 + 3 + 178 + 8 + 56 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (35640731788567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19922152146 + ... + 19922153934.

It is an arithmetic number, because the mean of its divisors is an integer number (197595561780).

Almost surely, 2^{35640731788560} is an apocalyptic number.

35640731788560 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 35640731788560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63230579769600).

35640731788560 is an abundant number, since it is smaller than the sum of its proper divisors (90820427750640).

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

35640731788560 is a wasteful number, since it uses less digits than its factorization.

35640731788560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 35640731788560 in words is "thirty-five trillion, six hundred forty billion, seven hundred thirty-one million, seven hundred eighty-eight thousand, five hundred sixty".