35142007680 has 256 divisors, whose sum is σ = 134036078400. Its totient is φ = 8650285056.

The previous prime is 35142007639. The next prime is 35142007711. The reversal of 35142007680 is 8670024153.

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

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, 146422 + ... + 302858.

Almost surely, 2^35142007680 is an apocalyptic number.

35142007680 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 35142007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67018039200).

35142007680 is an abundant number, since it is smaller than the sum of its proper divisors (98894070720).

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

35142007680 is a wasteful number, since it uses less digits than its factorization.

35142007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156478 (or 156460 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 35142007680 in words is "thirty-five billion, one hundred forty-two million, seven thousand, six hundred eighty".