35740016640 has 448 divisors, whose sum is σ = 134613213120. Its totient is φ = 8965324800.

The previous prime is 35740016621. The next prime is 35740016677. The reversal of 35740016640 is 4661004753.

It is a happy number.

35740016640 is a `hidden beast` number, since 3 + 5 + 7 + 4 + 0 + 0 + 1 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 35740016595 and 35740016604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18799690 + ... + 18801590.

Almost surely, 2^35740016640 is an apocalyptic number.

35740016640 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 35740016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67306606560).

35740016640 is an abundant number, since it is smaller than the sum of its proper divisors (98873196480).

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

35740016640 is a wasteful number, since it uses less digits than its factorization.

35740016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 35740016640 in words is "thirty-five billion, seven hundred forty million, sixteen thousand, six hundred forty".