4196747520 has 432 divisors, whose sum is σ = 16851324672. Its totient is φ = 944455680.

The previous prime is 4196747519. The next prime is 4196747537. The reversal of 4196747520 is 257476914.

It is a super-2 number, since 2×4196747520² = 35225379493252300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5725074 + ... + 5725806.

It is an arithmetic number, because the mean of its divisors is an integer number (39007696).

Almost surely, 2^4196747520 is an apocalyptic number.

4196747520 is a gapful number since it is divisible by the number (40) 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 4196747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8425662336).

4196747520 is an abundant number, since it is smaller than the sum of its proper divisors (12654577152).

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

4196747520 is a wasteful number, since it uses less digits than its factorization.

4196747520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 4196747520 is about 64782.3086961247. The cubic root of 4196747520 is about 1613.0120587565.

The spelling of 4196747520 in words is "four billion, one hundred ninety-six million, seven hundred forty-seven thousand, five hundred twenty".