7862137920 has 672 divisors, whose sum is σ = 33683569920. Its totient is φ = 1638973440.

The previous prime is 7862137903. The next prime is 7862138021. The reversal of 7862137920 is 297312687.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 34332366 + ... + 34332594.

It is an arithmetic number, because the mean of its divisors is an integer number (50124360).

Almost surely, 2^7862137920 is an apocalyptic number.

7862137920 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 7862137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841784960).

7862137920 is an abundant number, since it is smaller than the sum of its proper divisors (25821432000).

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

7862137920 is a wasteful number, since it uses less digits than its factorization.

7862137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7862137920 is about 88668.6975206019. The cubic root of 7862137920 is about 1988.4448612894. Note that the first 3 decimals are identical.

The spelling of 7862137920 in words is "seven billion, eight hundred sixty-two million, one hundred thirty-seven thousand, nine hundred twenty".