35477468640 has 480 divisors, whose sum is σ = 133273213920. Its totient is φ = 8857092096.

The previous prime is 35477468639. The next prime is 35477468659. The reversal of 35477468640 is 4686477453.

35477468640 is a `hidden beast` number, since 3 + 54 + 77 + 468 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×35477468640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62350276 + ... + 62350844.

It is an arithmetic number, because the mean of its divisors is an integer number (277652529).

Almost surely, 2^35477468640 is an apocalyptic number.

35477468640 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 35477468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66636606960).

35477468640 is an abundant number, since it is smaller than the sum of its proper divisors (97795745280).

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

35477468640 is a wasteful number, since it uses less digits than its factorization.

35477468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 35477468640 in words is "thirty-five billion, four hundred seventy-seven million, four hundred sixty-eight thousand, six hundred forty".