70515480672 has 1152 divisors, whose sum is σ = 278970531840. Its totient is φ = 16368168960.

The previous prime is 70515480631. The next prime is 70515480677. The reversal of 70515480672 is 27608451507.

70515480672 is a `hidden beast` number, since 70 + 515 + 4 + 8 + 0 + 67 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70515480677) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 538286047 + ... + 538286177.

It is an arithmetic number, because the mean of its divisors is an integer number (242161920).

Almost surely, 2^70515480672 is an apocalyptic number.

70515480672 is a gapful number since it is divisible by the number (72) 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 70515480672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139485265920).

70515480672 is an abundant number, since it is smaller than the sum of its proper divisors (208455051168).

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

70515480672 is a wasteful number, since it uses less digits than its factorization.

70515480672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 70515480672 in words is "seventy billion, five hundred fifteen million, four hundred eighty thousand, six hundred seventy-two".