70477827840 has 1080 divisors, whose sum is σ = 305306638560. Its totient is φ = 15204630528.

The previous prime is 70477827803. The next prime is 70477827853. The reversal of 70477827840 is 4872877407.

70477827840 is a `hidden beast` number, since 70 + 477 + 8 + 27 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 261999226 + ... + 261999494.

It is an arithmetic number, because the mean of its divisors is an integer number (282691332).

Almost surely, 2^70477827840 is an apocalyptic number.

70477827840 is a gapful number since it is divisible by the number (70) 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 70477827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152653319280).

70477827840 is an abundant number, since it is smaller than the sum of its proper divisors (234828810720).

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

70477827840 is a wasteful number, since it uses less digits than its factorization.

70477827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 4917248, while the sum is 54.

The spelling of 70477827840 in words is "seventy billion, four hundred seventy-seven million, eight hundred twenty-seven thousand, eight hundred forty".