35149670640 has 240 divisors, whose sum is σ = 138199029696. Its totient is φ = 7838208000.

The previous prime is 35149670629. The next prime is 35149670653. The reversal of 35149670640 is 4607694153.

35149670640 is a `hidden beast` number, since 3 + 51 + 496 + 70 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×35149670640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121590 + ... + 291690.

Almost surely, 2^35149670640 is an apocalyptic number.

35149670640 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 35149670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69099514848).

35149670640 is an abundant number, since it is smaller than the sum of its proper divisors (103049359056).

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

35149670640 is a wasteful number, since it uses less digits than its factorization.

35149670640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170168 (or 170159 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 35149670640 in words is "thirty-five billion, one hundred forty-nine million, six hundred seventy thousand, six hundred forty".