7679146020 has 384 divisors, whose sum is σ = 28239052800. Its totient is φ = 1513893888.

The previous prime is 7679145983. The next prime is 7679146063. The reversal of 7679146020 is 206419767.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8194992 + ... + 8195928.

It is an arithmetic number, because the mean of its divisors is an integer number (73539200).

Almost surely, 2^7679146020 is an apocalyptic number.

7679146020 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 7679146020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14119526400).

7679146020 is an abundant number, since it is smaller than the sum of its proper divisors (20559906780).

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

7679146020 is a wasteful number, since it uses less digits than its factorization.

7679146020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 7679146020 is about 87630.7367308983. The cubic root of 7679146020 is about 1972.8965284278.

The spelling of 7679146020 in words is "seven billion, six hundred seventy-nine million, one hundred forty-six thousand, twenty".