70728892416 has 720 divisors, whose sum is σ = 263572505280. Its totient is φ = 18579456000.

The previous prime is 70728892391. The next prime is 70728892427. The reversal of 70728892416 is 61429882707.

It is a happy number.

70728892416 is a `hidden beast` number, since 70 + 72 + 8 + 8 + 92 + 416 = 666.

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 47 ways as a sum of consecutive naturals, for example, 281788291 + ... + 281788541.

It is an arithmetic number, because the mean of its divisors is an integer number (366072924).

Almost surely, 2^70728892416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70728892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131786252640).

70728892416 is an abundant number, since it is smaller than the sum of its proper divisors (192843612864).

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

70728892416 is a wasteful number, since it uses less digits than its factorization.

70728892416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 70728892416 in words is "seventy billion, seven hundred twenty-eight million, eight hundred ninety-two thousand, four hundred sixteen".