70461266400 has 432 divisors, whose sum is σ = 285186309408. Its totient is φ = 16035840000.

The previous prime is 70461266377. The next prime is 70461266419. The reversal of 70461266400 is 466216407.

70461266400 is a `hidden beast` number, since 7 + 0 + 4 + 6 + 1 + 2 + 6 + 640 + 0 = 666.

It is a super-3 number, since 3×70461266400³ (a number of 34 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12143500 + ... + 12149300.

It is an arithmetic number, because the mean of its divisors is an integer number (660153494).

Almost surely, 2^70461266400 is an apocalyptic number.

70461266400 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 70461266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142593154704).

70461266400 is an abundant number, since it is smaller than the sum of its proper divisors (214725043008).

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

70461266400 is a wasteful number, since it uses less digits than its factorization.

70461266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6075 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 70461266400 in words is "seventy billion, four hundred sixty-one million, two hundred sixty-six thousand, four hundred".